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Finding the Fourth Proportional to 3,418.65, 5,098.83 and 3,359.46

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Solution

The fourth proportional to 3,418.65, 5,098.83 and 3,359.46 is: 5,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.65 : 5,098.83 = 3,359.46 : x
  2. Step 2: Convert to fraction form
    3,418.65/5,098.83 = 3,359.46/x
  3. Step 3: Cross multiply
    3,418.65x = 5,098.83 × 3,359.46
  4. Step 4: Simplify right side
    3,418.65x = 17,129,315.43
  5. Step 5: Solve for x
    x = 17,129,315.43/3,418.65
  6. Step 6: Final answer
    x = 5,010.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.