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Finding the Fourth Proportional to 3,920.90, 5,881.37 and 1,581.98

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Solution

The fourth proportional to 3,920.90, 5,881.37 and 1,581.98 is: 2,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.90 : 5,881.37 = 1,581.98 : x
  2. Step 2: Convert to fraction form
    3,920.90/5,881.37 = 1,581.98/x
  3. Step 3: Cross multiply
    3,920.90x = 5,881.37 × 1,581.98
  4. Step 4: Simplify right side
    3,920.90x = 9,304,209.71
  5. Step 5: Solve for x
    x = 9,304,209.71/3,920.90
  6. Step 6: Final answer
    x = 2,372.98

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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.