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Finding the Fourth Proportional to 3,714.76, 5,124.72 and 2,387.96

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Solution

The fourth proportional to 3,714.76, 5,124.72 and 2,387.96 is: 3,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.76 : 5,124.72 = 2,387.96 : x
  2. Step 2: Convert to fraction form
    3,714.76/5,124.72 = 2,387.96/x
  3. Step 3: Cross multiply
    3,714.76x = 5,124.72 × 2,387.96
  4. Step 4: Simplify right side
    3,714.76x = 12,237,626.37
  5. Step 5: Solve for x
    x = 12,237,626.37/3,714.76
  6. Step 6: Final answer
    x = 3,294.32

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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.