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Finding the Fourth Proportional to 3,767.52, 5,657.76 and 2,037.36

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Solution

The fourth proportional to 3,767.52, 5,657.76 and 2,037.36 is: 3,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.52 : 5,657.76 = 2,037.36 : x
  2. Step 2: Convert to fraction form
    3,767.52/5,657.76 = 2,037.36/x
  3. Step 3: Cross multiply
    3,767.52x = 5,657.76 × 2,037.36
  4. Step 4: Simplify right side
    3,767.52x = 11,526,893.91
  5. Step 5: Solve for x
    x = 11,526,893.91/3,767.52
  6. Step 6: Final answer
    x = 3,059.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.