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Finding the Fourth Proportional to 3,808.55, 5,708.70 and 2,488.14

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Solution

The fourth proportional to 3,808.55, 5,708.70 and 2,488.14 is: 3,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.55 : 5,708.70 = 2,488.14 : x
  2. Step 2: Convert to fraction form
    3,808.55/5,708.70 = 2,488.14/x
  3. Step 3: Cross multiply
    3,808.55x = 5,708.70 × 2,488.14
  4. Step 4: Simplify right side
    3,808.55x = 14,204,044.82
  5. Step 5: Solve for x
    x = 14,204,044.82/3,808.55
  6. Step 6: Final answer
    x = 3,729.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.