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Finding the Fourth Proportional to 4,382.25, 6,532.80 and 4,314.82

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Solution

The fourth proportional to 4,382.25, 6,532.80 and 4,314.82 is: 6,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.25 : 6,532.80 = 4,314.82 : x
  2. Step 2: Convert to fraction form
    4,382.25/6,532.80 = 4,314.82/x
  3. Step 3: Cross multiply
    4,382.25x = 6,532.80 × 4,314.82
  4. Step 4: Simplify right side
    4,382.25x = 28,187,860.10
  5. Step 5: Solve for x
    x = 28,187,860.10/4,382.25
  6. Step 6: Final answer
    x = 6,432.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.