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Finding the Fourth Proportional to 4,230.87, 6,347.12 and 1,308.66

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Solution

The fourth proportional to 4,230.87, 6,347.12 and 1,308.66 is: 1,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.87 : 6,347.12 = 1,308.66 : x
  2. Step 2: Convert to fraction form
    4,230.87/6,347.12 = 1,308.66/x
  3. Step 3: Cross multiply
    4,230.87x = 6,347.12 × 1,308.66
  4. Step 4: Simplify right side
    4,230.87x = 8,306,215.52
  5. Step 5: Solve for x
    x = 8,306,215.52/4,230.87
  6. Step 6: Final answer
    x = 1,963.24

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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.