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Finding the Fourth Proportional to 4,489.04, 6,194.77 and 2,472.36

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Solution

The fourth proportional to 4,489.04, 6,194.77 and 2,472.36 is: 3,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.04 : 6,194.77 = 2,472.36 : x
  2. Step 2: Convert to fraction form
    4,489.04/6,194.77 = 2,472.36/x
  3. Step 3: Cross multiply
    4,489.04x = 6,194.77 × 2,472.36
  4. Step 4: Simplify right side
    4,489.04x = 15,315,695.38
  5. Step 5: Solve for x
    x = 15,315,695.38/4,489.04
  6. Step 6: Final answer
    x = 3,411.80

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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.