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Finding the Fourth Proportional to 4,304.52, 6,457.23 and 1,382.13

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Solution

The fourth proportional to 4,304.52, 6,457.23 and 1,382.13 is: 2,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.52 : 6,457.23 = 1,382.13 : x
  2. Step 2: Convert to fraction form
    4,304.52/6,457.23 = 1,382.13/x
  3. Step 3: Cross multiply
    4,304.52x = 6,457.23 × 1,382.13
  4. Step 4: Simplify right side
    4,304.52x = 8,924,731.30
  5. Step 5: Solve for x
    x = 8,924,731.30/4,304.52
  6. Step 6: Final answer
    x = 2,073.34

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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.