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Finding the Fourth Proportional to 6,123.06, 8,449.70 and 3,470.49

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Solution

The fourth proportional to 6,123.06, 8,449.70 and 3,470.49 is: 4,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.06 : 8,449.70 = 3,470.49 : x
  2. Step 2: Convert to fraction form
    6,123.06/8,449.70 = 3,470.49/x
  3. Step 3: Cross multiply
    6,123.06x = 8,449.70 × 3,470.49
  4. Step 4: Simplify right side
    6,123.06x = 29,324,582.00
  5. Step 5: Solve for x
    x = 29,324,582.00/6,123.06
  6. Step 6: Final answer
    x = 4,789.20

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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.