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Finding the Fourth Proportional to 4,470.83, 6,169.83 and 2,454.44

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Solution

The fourth proportional to 4,470.83, 6,169.83 and 2,454.44 is: 3,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.83 : 6,169.83 = 2,454.44 : x
  2. Step 2: Convert to fraction form
    4,470.83/6,169.83 = 2,454.44/x
  3. Step 3: Cross multiply
    4,470.83x = 6,169.83 × 2,454.44
  4. Step 4: Simplify right side
    4,470.83x = 15,143,455.49
  5. Step 5: Solve for x
    x = 15,143,455.49/4,470.83
  6. Step 6: Final answer
    x = 3,387.17

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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.