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Finding the Fourth Proportional to 3,765.38, 5,198.01 and 2,508.53

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Solution

The fourth proportional to 3,765.38, 5,198.01 and 2,508.53 is: 3,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.38 : 5,198.01 = 2,508.53 : x
  2. Step 2: Convert to fraction form
    3,765.38/5,198.01 = 2,508.53/x
  3. Step 3: Cross multiply
    3,765.38x = 5,198.01 × 2,508.53
  4. Step 4: Simplify right side
    3,765.38x = 13,039,364.03
  5. Step 5: Solve for x
    x = 13,039,364.03/3,765.38
  6. Step 6: Final answer
    x = 3,462.96

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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.