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Finding the Fourth Proportional to 4,470.50, 6,169.18 and 2,481

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Solution

The fourth proportional to 4,470.50, 6,169.18 and 2,481 is: 3,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.50 : 6,169.18 = 2,481 : x
  2. Step 2: Convert to fraction form
    4,470.50/6,169.18 = 2,481/x
  3. Step 3: Cross multiply
    4,470.50x = 6,169.18 × 2,481
  4. Step 4: Simplify right side
    4,470.50x = 15,305,735.58
  5. Step 5: Solve for x
    x = 15,305,735.58/4,470.50
  6. Step 6: Final answer
    x = 3,423.72

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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.