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Finding the Fourth Proportional to 5,854.74, 8,079.12 and 3,201.59

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Solution

The fourth proportional to 5,854.74, 8,079.12 and 3,201.59 is: 4,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.74 : 8,079.12 = 3,201.59 : x
  2. Step 2: Convert to fraction form
    5,854.74/8,079.12 = 3,201.59/x
  3. Step 3: Cross multiply
    5,854.74x = 8,079.12 × 3,201.59
  4. Step 4: Simplify right side
    5,854.74x = 25,866,029.80
  5. Step 5: Solve for x
    x = 25,866,029.80/5,854.74
  6. Step 6: Final answer
    x = 4,417.96

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