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Finding the Fourth Proportional to 6,542.10, 9,027.71 and 3,557.91

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Solution

The fourth proportional to 6,542.10, 9,027.71 and 3,557.91 is: 4,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.10 : 9,027.71 = 3,557.91 : x
  2. Step 2: Convert to fraction form
    6,542.10/9,027.71 = 3,557.91/x
  3. Step 3: Cross multiply
    6,542.10x = 9,027.71 × 3,557.91
  4. Step 4: Simplify right side
    6,542.10x = 32,119,788.58
  5. Step 5: Solve for x
    x = 32,119,788.58/6,542.10
  6. Step 6: Final answer
    x = 4,909.71

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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.