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Finding the Fourth Proportional to 5,427.92, 8,142.17 and 1,532.63

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Solution

The fourth proportional to 5,427.92, 8,142.17 and 1,532.63 is: 2,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.92 : 8,142.17 = 1,532.63 : x
  2. Step 2: Convert to fraction form
    5,427.92/8,142.17 = 1,532.63/x
  3. Step 3: Cross multiply
    5,427.92x = 8,142.17 × 1,532.63
  4. Step 4: Simplify right side
    5,427.92x = 12,478,926.34
  5. Step 5: Solve for x
    x = 12,478,926.34/5,427.92
  6. Step 6: Final answer
    x = 2,299.03

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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.