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Finding the Fourth Proportional to 5,428.76, 8,142.06 and 1,532.12

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Solution

The fourth proportional to 5,428.76, 8,142.06 and 1,532.12 is: 2,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.76 : 8,142.06 = 1,532.12 : x
  2. Step 2: Convert to fraction form
    5,428.76/8,142.06 = 1,532.12/x
  3. Step 3: Cross multiply
    5,428.76x = 8,142.06 × 1,532.12
  4. Step 4: Simplify right side
    5,428.76x = 12,474,612.97
  5. Step 5: Solve for x
    x = 12,474,612.97/5,428.76
  6. Step 6: Final answer
    x = 2,297.88

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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.