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Finding the Fourth Proportional to 5,854.53, 8,079.10 and 3,201.77

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Solution

The fourth proportional to 5,854.53, 8,079.10 and 3,201.77 is: 4,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.53 : 8,079.10 = 3,201.77 : x
  2. Step 2: Convert to fraction form
    5,854.53/8,079.10 = 3,201.77/x
  3. Step 3: Cross multiply
    5,854.53x = 8,079.10 × 3,201.77
  4. Step 4: Simplify right side
    5,854.53x = 25,867,379.61
  5. Step 5: Solve for x
    x = 25,867,379.61/5,854.53
  6. Step 6: Final answer
    x = 4,418.35

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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.