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Finding the Fourth Proportional to 3,259.92, 4,886.10 and 2,527.14

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Solution

The fourth proportional to 3,259.92, 4,886.10 and 2,527.14 is: 3,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.92 : 4,886.10 = 2,527.14 : x
  2. Step 2: Convert to fraction form
    3,259.92/4,886.10 = 2,527.14/x
  3. Step 3: Cross multiply
    3,259.92x = 4,886.10 × 2,527.14
  4. Step 4: Simplify right side
    3,259.92x = 12,347,858.75
  5. Step 5: Solve for x
    x = 12,347,858.75/3,259.92
  6. Step 6: Final answer
    x = 3,787.78

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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.