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Finding the Fourth Proportional to 4,714.32, 7,074.20 and 2,524.27

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Solution

The fourth proportional to 4,714.32, 7,074.20 and 2,524.27 is: 3,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.32 : 7,074.20 = 2,524.27 : x
  2. Step 2: Convert to fraction form
    4,714.32/7,074.20 = 2,524.27/x
  3. Step 3: Cross multiply
    4,714.32x = 7,074.20 × 2,524.27
  4. Step 4: Simplify right side
    4,714.32x = 17,857,190.83
  5. Step 5: Solve for x
    x = 17,857,190.83/4,714.32
  6. Step 6: Final answer
    x = 3,787.86

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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.