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Finding the Fourth Proportional to 5,709.44, 7,879.33 and 3,470.95

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Solution

The fourth proportional to 5,709.44, 7,879.33 and 3,470.95 is: 4,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.44 : 7,879.33 = 3,470.95 : x
  2. Step 2: Convert to fraction form
    5,709.44/7,879.33 = 3,470.95/x
  3. Step 3: Cross multiply
    5,709.44x = 7,879.33 × 3,470.95
  4. Step 4: Simplify right side
    5,709.44x = 27,348,760.46
  5. Step 5: Solve for x
    x = 27,348,760.46/5,709.44
  6. Step 6: Final answer
    x = 4,790.10

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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.