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Finding the Fourth Proportional to 5,427.42, 8,141.42 and 1,532.13

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Solution

The fourth proportional to 5,427.42, 8,141.42 and 1,532.13 is: 2,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.42 : 8,141.42 = 1,532.13 : x
  2. Step 2: Convert to fraction form
    5,427.42/8,141.42 = 1,532.13/x
  3. Step 3: Cross multiply
    5,427.42x = 8,141.42 × 1,532.13
  4. Step 4: Simplify right side
    5,427.42x = 12,473,706.16
  5. Step 5: Solve for x
    x = 12,473,706.16/5,427.42
  6. Step 6: Final answer
    x = 2,298.28

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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.