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Finding the Fourth Proportional to 5,382.40, 8,063.10 and 3,035.20

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Solution

The fourth proportional to 5,382.40, 8,063.10 and 3,035.20 is: 4,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.40 : 8,063.10 = 3,035.20 : x
  2. Step 2: Convert to fraction form
    5,382.40/8,063.10 = 3,035.20/x
  3. Step 3: Cross multiply
    5,382.40x = 8,063.10 × 3,035.20
  4. Step 4: Simplify right side
    5,382.40x = 24,473,121.12
  5. Step 5: Solve for x
    x = 24,473,121.12/5,382.40
  6. Step 6: Final answer
    x = 4,546.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.