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Finding the Fourth Proportional to 5,349.71, 8,023.28 and 2,229.76

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Solution

The fourth proportional to 5,349.71, 8,023.28 and 2,229.76 is: 3,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.71 : 8,023.28 = 2,229.76 : x
  2. Step 2: Convert to fraction form
    5,349.71/8,023.28 = 2,229.76/x
  3. Step 3: Cross multiply
    5,349.71x = 8,023.28 × 2,229.76
  4. Step 4: Simplify right side
    5,349.71x = 17,889,988.81
  5. Step 5: Solve for x
    x = 17,889,988.81/5,349.71
  6. Step 6: Final answer
    x = 3,344.10

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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.