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Finding the Fourth Proportional to 3,714.87, 5,126.66 and 2,121.78

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Solution

The fourth proportional to 3,714.87, 5,126.66 and 2,121.78 is: 2,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.87 : 5,126.66 = 2,121.78 : x
  2. Step 2: Convert to fraction form
    3,714.87/5,126.66 = 2,121.78/x
  3. Step 3: Cross multiply
    3,714.87x = 5,126.66 × 2,121.78
  4. Step 4: Simplify right side
    3,714.87x = 10,877,644.65
  5. Step 5: Solve for x
    x = 10,877,644.65/3,714.87
  6. Step 6: Final answer
    x = 2,928.14

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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.