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Finding the Fourth Proportional to 5,642.38, 7,785.57 and 3,252.45

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Solution

The fourth proportional to 5,642.38, 7,785.57 and 3,252.45 is: 4,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.38 : 7,785.57 = 3,252.45 : x
  2. Step 2: Convert to fraction form
    5,642.38/7,785.57 = 3,252.45/x
  3. Step 3: Cross multiply
    5,642.38x = 7,785.57 × 3,252.45
  4. Step 4: Simplify right side
    5,642.38x = 25,322,164.95
  5. Step 5: Solve for x
    x = 25,322,164.95/5,642.38
  6. Step 6: Final answer
    x = 4,487.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.