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Finding the Fourth Proportional to 5,708.02, 7,879.49 and 3,470.61

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Solution

The fourth proportional to 5,708.02, 7,879.49 and 3,470.61 is: 4,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.02 : 7,879.49 = 3,470.61 : x
  2. Step 2: Convert to fraction form
    5,708.02/7,879.49 = 3,470.61/x
  3. Step 3: Cross multiply
    5,708.02x = 7,879.49 × 3,470.61
  4. Step 4: Simplify right side
    5,708.02x = 27,346,645.47
  5. Step 5: Solve for x
    x = 27,346,645.47/5,708.02
  6. Step 6: Final answer
    x = 4,790.92

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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.