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Finding the Fourth Proportional to 5,900.38, 8,142.48 and 3,247.83

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Solution

The fourth proportional to 5,900.38, 8,142.48 and 3,247.83 is: 4,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.38 : 8,142.48 = 3,247.83 : x
  2. Step 2: Convert to fraction form
    5,900.38/8,142.48 = 3,247.83/x
  3. Step 3: Cross multiply
    5,900.38x = 8,142.48 × 3,247.83
  4. Step 4: Simplify right side
    5,900.38x = 26,445,390.82
  5. Step 5: Solve for x
    x = 26,445,390.82/5,900.38
  6. Step 6: Final answer
    x = 4,481.98

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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.