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Finding the Fourth Proportional to 3,504.60, 5,256.86 and 907.34

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Solution

The fourth proportional to 3,504.60, 5,256.86 and 907.34 is: 1,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.60 : 5,256.86 = 907.34 : x
  2. Step 2: Convert to fraction form
    3,504.60/5,256.86 = 907.34/x
  3. Step 3: Cross multiply
    3,504.60x = 5,256.86 × 907.34
  4. Step 4: Simplify right side
    3,504.60x = 4,769,728.53
  5. Step 5: Solve for x
    x = 4,769,728.53/3,504.60
  6. Step 6: Final answer
    x = 1,360.99

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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.