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Finding the Fourth Proportional to 6,542.60, 9,027.98 and 3,709.52

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Solution

The fourth proportional to 6,542.60, 9,027.98 and 3,709.52 is: 5,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.60 : 9,027.98 = 3,709.52 : x
  2. Step 2: Convert to fraction form
    6,542.60/9,027.98 = 3,709.52/x
  3. Step 3: Cross multiply
    6,542.60x = 9,027.98 × 3,709.52
  4. Step 4: Simplify right side
    6,542.60x = 33,489,472.37
  5. Step 5: Solve for x
    x = 33,489,472.37/6,542.60
  6. Step 6: Final answer
    x = 5,118.68

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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.