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Finding the Fourth Proportional to 4,304.26, 6,456.19 and 1,382.19

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Solution

The fourth proportional to 4,304.26, 6,456.19 and 1,382.19 is: 2,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.26 : 6,456.19 = 1,382.19 : x
  2. Step 2: Convert to fraction form
    4,304.26/6,456.19 = 1,382.19/x
  3. Step 3: Cross multiply
    4,304.26x = 6,456.19 × 1,382.19
  4. Step 4: Simplify right side
    4,304.26x = 8,923,681.26
  5. Step 5: Solve for x
    x = 8,923,681.26/4,304.26
  6. Step 6: Final answer
    x = 2,073.22

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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.