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Finding the Fourth Proportional to 5,854.66, 8,079.45 and 3,202.06

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Solution

The fourth proportional to 5,854.66, 8,079.45 and 3,202.06 is: 4,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.66 : 8,079.45 = 3,202.06 : x
  2. Step 2: Convert to fraction form
    5,854.66/8,079.45 = 3,202.06/x
  3. Step 3: Cross multiply
    5,854.66x = 8,079.45 × 3,202.06
  4. Step 4: Simplify right side
    5,854.66x = 25,870,883.67
  5. Step 5: Solve for x
    x = 25,870,883.67/5,854.66
  6. Step 6: Final answer
    x = 4,418.85

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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.