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Finding the Fourth Proportional to 5,770.95, 8,660.52 and 3,581.21

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Solution

The fourth proportional to 5,770.95, 8,660.52 and 3,581.21 is: 5,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.95 : 8,660.52 = 3,581.21 : x
  2. Step 2: Convert to fraction form
    5,770.95/8,660.52 = 3,581.21/x
  3. Step 3: Cross multiply
    5,770.95x = 8,660.52 × 3,581.21
  4. Step 4: Simplify right side
    5,770.95x = 31,015,162.48
  5. Step 5: Solve for x
    x = 31,015,162.48/5,770.95
  6. Step 6: Final answer
    x = 5,374.36

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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.