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Finding the Fourth Proportional to 6,121.30, 8,448.93 and 3,470.29

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Solution

The fourth proportional to 6,121.30, 8,448.93 and 3,470.29 is: 4,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.30 : 8,448.93 = 3,470.29 : x
  2. Step 2: Convert to fraction form
    6,121.30/8,448.93 = 3,470.29/x
  3. Step 3: Cross multiply
    6,121.30x = 8,448.93 × 3,470.29
  4. Step 4: Simplify right side
    6,121.30x = 29,320,237.29
  5. Step 5: Solve for x
    x = 29,320,237.29/6,121.30
  6. Step 6: Final answer
    x = 4,789.87

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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.