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Finding the Fourth Proportional to 3,142.44, 4,714.31 and 921.35

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Solution

The fourth proportional to 3,142.44, 4,714.31 and 921.35 is: 1,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.44 : 4,714.31 = 921.35 : x
  2. Step 2: Convert to fraction form
    3,142.44/4,714.31 = 921.35/x
  3. Step 3: Cross multiply
    3,142.44x = 4,714.31 × 921.35
  4. Step 4: Simplify right side
    3,142.44x = 4,343,517.73
  5. Step 5: Solve for x
    x = 4,343,517.73/3,142.44
  6. Step 6: Final answer
    x = 1,382.21

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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.