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Finding the Fourth Proportional to 4,229.59, 6,345 and 1,308.13

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Solution

The fourth proportional to 4,229.59, 6,345 and 1,308.13 is: 1,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.59 : 6,345 = 1,308.13 : x
  2. Step 2: Convert to fraction form
    4,229.59/6,345 = 1,308.13/x
  3. Step 3: Cross multiply
    4,229.59x = 6,345 × 1,308.13
  4. Step 4: Simplify right side
    4,229.59x = 8,300,084.85
  5. Step 5: Solve for x
    x = 8,300,084.85/4,229.59
  6. Step 6: Final answer
    x = 1,962.39

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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.