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Finding the Fourth Proportional to 4,228.47, 6,342.71 and 1,306.71

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Solution

The fourth proportional to 4,228.47, 6,342.71 and 1,306.71 is: 1,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.47 : 6,342.71 = 1,306.71 : x
  2. Step 2: Convert to fraction form
    4,228.47/6,342.71 = 1,306.71/x
  3. Step 3: Cross multiply
    4,228.47x = 6,342.71 × 1,306.71
  4. Step 4: Simplify right side
    4,228.47x = 8,288,076.05
  5. Step 5: Solve for x
    x = 8,288,076.05/4,228.47
  6. Step 6: Final answer
    x = 1,960.07

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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.