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Finding the Fourth Proportional to 3,683.52, 5,078.16 and 2,688.84

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Solution

The fourth proportional to 3,683.52, 5,078.16 and 2,688.84 is: 3,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.52 : 5,078.16 = 2,688.84 : x
  2. Step 2: Convert to fraction form
    3,683.52/5,078.16 = 2,688.84/x
  3. Step 3: Cross multiply
    3,683.52x = 5,078.16 × 2,688.84
  4. Step 4: Simplify right side
    3,683.52x = 13,654,359.73
  5. Step 5: Solve for x
    x = 13,654,359.73/3,683.52
  6. Step 6: Final answer
    x = 3,706.88

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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.