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Finding the Fourth Proportional to 3,714.69, 5,570.82 and 1,248.78

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Solution

The fourth proportional to 3,714.69, 5,570.82 and 1,248.78 is: 1,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.69 : 5,570.82 = 1,248.78 : x
  2. Step 2: Convert to fraction form
    3,714.69/5,570.82 = 1,248.78/x
  3. Step 3: Cross multiply
    3,714.69x = 5,570.82 × 1,248.78
  4. Step 4: Simplify right side
    3,714.69x = 6,956,728.60
  5. Step 5: Solve for x
    x = 6,956,728.60/3,714.69
  6. Step 6: Final answer
    x = 1,872.76

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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.