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Finding the Fourth Proportional to 5,900.38, 8,142.72 and 3,247.90

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Solution

The fourth proportional to 5,900.38, 8,142.72 and 3,247.90 is: 4,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.38 : 8,142.72 = 3,247.90 : x
  2. Step 2: Convert to fraction form
    5,900.38/8,142.72 = 3,247.90/x
  3. Step 3: Cross multiply
    5,900.38x = 8,142.72 × 3,247.90
  4. Step 4: Simplify right side
    5,900.38x = 26,446,740.29
  5. Step 5: Solve for x
    x = 26,446,740.29/5,900.38
  6. Step 6: Final answer
    x = 4,482.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.