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Finding the Fourth Proportional to 6,123.20, 8,449.52 and 3,470.85

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Solution

The fourth proportional to 6,123.20, 8,449.52 and 3,470.85 is: 4,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.20 : 8,449.52 = 3,470.85 : x
  2. Step 2: Convert to fraction form
    6,123.20/8,449.52 = 3,470.85/x
  3. Step 3: Cross multiply
    6,123.20x = 8,449.52 × 3,470.85
  4. Step 4: Simplify right side
    6,123.20x = 29,326,999.14
  5. Step 5: Solve for x
    x = 29,326,999.14/6,123.20
  6. Step 6: Final answer
    x = 4,789.49

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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.