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Finding the Fourth Proportional to 6,326.52, 8,730 and 3,531.84

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Solution

The fourth proportional to 6,326.52, 8,730 and 3,531.84 is: 4,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.52 : 8,730 = 3,531.84 : x
  2. Step 2: Convert to fraction form
    6,326.52/8,730 = 3,531.84/x
  3. Step 3: Cross multiply
    6,326.52x = 8,730 × 3,531.84
  4. Step 4: Simplify right side
    6,326.52x = 30,832,963.20
  5. Step 5: Solve for x
    x = 30,832,963.20/6,326.52
  6. Step 6: Final answer
    x = 4,873.61

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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.