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Finding the Fourth Proportional to 5,849.38, 8,058.46 and 4,077.82

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Solution

The fourth proportional to 5,849.38, 8,058.46 and 4,077.82 is: 5,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.38 : 8,058.46 = 4,077.82 : x
  2. Step 2: Convert to fraction form
    5,849.38/8,058.46 = 4,077.82/x
  3. Step 3: Cross multiply
    5,849.38x = 8,058.46 × 4,077.82
  4. Step 4: Simplify right side
    5,849.38x = 32,860,908.82
  5. Step 5: Solve for x
    x = 32,860,908.82/5,849.38
  6. Step 6: Final answer
    x = 5,617.85

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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.