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Finding the Fourth Proportional to 3,504.04, 5,256.16 and 907

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Solution

The fourth proportional to 3,504.04, 5,256.16 and 907 is: 1,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.04 : 5,256.16 = 907 : x
  2. Step 2: Convert to fraction form
    3,504.04/5,256.16 = 907/x
  3. Step 3: Cross multiply
    3,504.04x = 5,256.16 × 907
  4. Step 4: Simplify right side
    3,504.04x = 4,767,337.12
  5. Step 5: Solve for x
    x = 4,767,337.12/3,504.04
  6. Step 6: Final answer
    x = 1,360.53

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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.