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Finding the Fourth Proportional to 5,311.16, 7,966.74 and 3,363.92

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Solution

The fourth proportional to 5,311.16, 7,966.74 and 3,363.92 is: 5,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.16 : 7,966.74 = 3,363.92 : x
  2. Step 2: Convert to fraction form
    5,311.16/7,966.74 = 3,363.92/x
  3. Step 3: Cross multiply
    5,311.16x = 7,966.74 × 3,363.92
  4. Step 4: Simplify right side
    5,311.16x = 26,799,476.02
  5. Step 5: Solve for x
    x = 26,799,476.02/5,311.16
  6. Step 6: Final answer
    x = 5,045.88

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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.