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Finding the Fourth Proportional to 3,542.52, 4,887.42 and 2,284.32

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Solution

The fourth proportional to 3,542.52, 4,887.42 and 2,284.32 is: 3,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.52 : 4,887.42 = 2,284.32 : x
  2. Step 2: Convert to fraction form
    3,542.52/4,887.42 = 2,284.32/x
  3. Step 3: Cross multiply
    3,542.52x = 4,887.42 × 2,284.32
  4. Step 4: Simplify right side
    3,542.52x = 11,164,431.25
  5. Step 5: Solve for x
    x = 11,164,431.25/3,542.52
  6. Step 6: Final answer
    x = 3,151.55

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