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Finding the Fourth Proportional to 3,990.98, 5,498.37 and 3,151.37

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Solution

The fourth proportional to 3,990.98, 5,498.37 and 3,151.37 is: 4,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.98 : 5,498.37 = 3,151.37 : x
  2. Step 2: Convert to fraction form
    3,990.98/5,498.37 = 3,151.37/x
  3. Step 3: Cross multiply
    3,990.98x = 5,498.37 × 3,151.37
  4. Step 4: Simplify right side
    3,990.98x = 17,327,412.01
  5. Step 5: Solve for x
    x = 17,327,412.01/3,990.98
  6. Step 6: Final answer
    x = 4,341.65

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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.