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Finding the Fourth Proportional to 3,712.68, 5,569.50 and 1,115.88

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Solution

The fourth proportional to 3,712.68, 5,569.50 and 1,115.88 is: 1,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.68 : 5,569.50 = 1,115.88 : x
  2. Step 2: Convert to fraction form
    3,712.68/5,569.50 = 1,115.88/x
  3. Step 3: Cross multiply
    3,712.68x = 5,569.50 × 1,115.88
  4. Step 4: Simplify right side
    3,712.68x = 6,214,893.66
  5. Step 5: Solve for x
    x = 6,214,893.66/3,712.68
  6. Step 6: Final answer
    x = 1,673.96

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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.