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Finding the Fourth Proportional to 4,714.91, 7,061.59 and 2,251.46

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Solution

The fourth proportional to 4,714.91, 7,061.59 and 2,251.46 is: 3,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.91 : 7,061.59 = 2,251.46 : x
  2. Step 2: Convert to fraction form
    4,714.91/7,061.59 = 2,251.46/x
  3. Step 3: Cross multiply
    4,714.91x = 7,061.59 × 2,251.46
  4. Step 4: Simplify right side
    4,714.91x = 15,898,887.42
  5. Step 5: Solve for x
    x = 15,898,887.42/4,714.91
  6. Step 6: Final answer
    x = 3,372.04

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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.