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Finding the Fourth Proportional to 5,708.15, 7,879.67 and 3,470.74

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Solution

The fourth proportional to 5,708.15, 7,879.67 and 3,470.74 is: 4,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.15 : 7,879.67 = 3,470.74 : x
  2. Step 2: Convert to fraction form
    5,708.15/7,879.67 = 3,470.74/x
  3. Step 3: Cross multiply
    5,708.15x = 7,879.67 × 3,470.74
  4. Step 4: Simplify right side
    5,708.15x = 27,348,229.10
  5. Step 5: Solve for x
    x = 27,348,229.10/5,708.15
  6. Step 6: Final answer
    x = 4,791.09

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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.