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Finding the Fourth Proportional to 5,714.47, 8,572.38 and 2,425.74

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Solution

The fourth proportional to 5,714.47, 8,572.38 and 2,425.74 is: 3,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.47 : 8,572.38 = 2,425.74 : x
  2. Step 2: Convert to fraction form
    5,714.47/8,572.38 = 2,425.74/x
  3. Step 3: Cross multiply
    5,714.47x = 8,572.38 × 2,425.74
  4. Step 4: Simplify right side
    5,714.47x = 20,794,365.06
  5. Step 5: Solve for x
    x = 20,794,365.06/5,714.47
  6. Step 6: Final answer
    x = 3,638.90

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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.