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Finding the Fourth Proportional to 5,714.14, 8,572.11 and 2,427.25

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Solution

The fourth proportional to 5,714.14, 8,572.11 and 2,427.25 is: 3,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.14 : 8,572.11 = 2,427.25 : x
  2. Step 2: Convert to fraction form
    5,714.14/8,572.11 = 2,427.25/x
  3. Step 3: Cross multiply
    5,714.14x = 8,572.11 × 2,427.25
  4. Step 4: Simplify right side
    5,714.14x = 20,806,654.00
  5. Step 5: Solve for x
    x = 20,806,654.00/5,714.14
  6. Step 6: Final answer
    x = 3,641.26

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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.