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Finding the Fourth Proportional to 5,228.71, 7,842.39 and 1,332.88

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Solution

The fourth proportional to 5,228.71, 7,842.39 and 1,332.88 is: 1,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.71 : 7,842.39 = 1,332.88 : x
  2. Step 2: Convert to fraction form
    5,228.71/7,842.39 = 1,332.88/x
  3. Step 3: Cross multiply
    5,228.71x = 7,842.39 × 1,332.88
  4. Step 4: Simplify right side
    5,228.71x = 10,452,964.78
  5. Step 5: Solve for x
    x = 10,452,964.78/5,228.71
  6. Step 6: Final answer
    x = 1,999.15

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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.