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Finding the Fourth Proportional to 3,714.72, 5,573.76 and 1,524.96

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Solution

The fourth proportional to 3,714.72, 5,573.76 and 1,524.96 is: 2,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.72 : 5,573.76 = 1,524.96 : x
  2. Step 2: Convert to fraction form
    3,714.72/5,573.76 = 1,524.96/x
  3. Step 3: Cross multiply
    3,714.72x = 5,573.76 × 1,524.96
  4. Step 4: Simplify right side
    3,714.72x = 8,499,761.05
  5. Step 5: Solve for x
    x = 8,499,761.05/3,714.72
  6. Step 6: Final answer
    x = 2,288.13

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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.