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Finding the Fourth Proportional to 4,230.47, 6,345.71 and 1,308.71

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Solution

The fourth proportional to 4,230.47, 6,345.71 and 1,308.71 is: 1,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.47 : 6,345.71 = 1,308.71 : x
  2. Step 2: Convert to fraction form
    4,230.47/6,345.71 = 1,308.71/x
  3. Step 3: Cross multiply
    4,230.47x = 6,345.71 × 1,308.71
  4. Step 4: Simplify right side
    4,230.47x = 8,304,687.59
  5. Step 5: Solve for x
    x = 8,304,687.59/4,230.47
  6. Step 6: Final answer
    x = 1,963.07

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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.