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Finding the Fourth Proportional to 3,504.57, 5,256.86 and 907.49

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Solution

The fourth proportional to 3,504.57, 5,256.86 and 907.49 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.57 : 5,256.86 = 907.49 : x
  2. Step 2: Convert to fraction form
    3,504.57/5,256.86 = 907.49/x
  3. Step 3: Cross multiply
    3,504.57x = 5,256.86 × 907.49
  4. Step 4: Simplify right side
    3,504.57x = 4,770,517.06
  5. Step 5: Solve for x
    x = 4,770,517.06/3,504.57
  6. Step 6: Final answer
    x = 1,361.23

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.