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Finding the Fourth Proportional to 6,361.89, 9,535.17 and 3,587.90

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Solution

The fourth proportional to 6,361.89, 9,535.17 and 3,587.90 is: 5,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.89 : 9,535.17 = 3,587.90 : x
  2. Step 2: Convert to fraction form
    6,361.89/9,535.17 = 3,587.90/x
  3. Step 3: Cross multiply
    6,361.89x = 9,535.17 × 3,587.90
  4. Step 4: Simplify right side
    6,361.89x = 34,211,182.04
  5. Step 5: Solve for x
    x = 34,211,182.04/6,361.89
  6. Step 6: Final answer
    x = 5,377.52

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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.