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Finding the Fourth Proportional to 3,771.95, 5,659.64 and 1,581.17

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Solution

The fourth proportional to 3,771.95, 5,659.64 and 1,581.17 is: 2,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.95 : 5,659.64 = 1,581.17 : x
  2. Step 2: Convert to fraction form
    3,771.95/5,659.64 = 1,581.17/x
  3. Step 3: Cross multiply
    3,771.95x = 5,659.64 × 1,581.17
  4. Step 4: Simplify right side
    3,771.95x = 8,948,845.07
  5. Step 5: Solve for x
    x = 8,948,845.07/3,771.95
  6. Step 6: Final answer
    x = 2,372.47

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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.