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Finding the Fourth Proportional to 5,686.38, 8,527.32 and 2,724

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Solution

The fourth proportional to 5,686.38, 8,527.32 and 2,724 is: 4,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.38 : 8,527.32 = 2,724 : x
  2. Step 2: Convert to fraction form
    5,686.38/8,527.32 = 2,724/x
  3. Step 3: Cross multiply
    5,686.38x = 8,527.32 × 2,724
  4. Step 4: Simplify right side
    5,686.38x = 23,228,419.68
  5. Step 5: Solve for x
    x = 23,228,419.68/5,686.38
  6. Step 6: Final answer
    x = 4,084.92

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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.