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Finding the Fourth Proportional to 5,773.82, 8,660.70 and 1,613.81

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Solution

The fourth proportional to 5,773.82, 8,660.70 and 1,613.81 is: 2,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.82 : 8,660.70 = 1,613.81 : x
  2. Step 2: Convert to fraction form
    5,773.82/8,660.70 = 1,613.81/x
  3. Step 3: Cross multiply
    5,773.82x = 8,660.70 × 1,613.81
  4. Step 4: Simplify right side
    5,773.82x = 13,976,724.27
  5. Step 5: Solve for x
    x = 13,976,724.27/5,773.82
  6. Step 6: Final answer
    x = 2,420.71

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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.