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Finding the Fourth Proportional to 5,666, 8,489.52 and 4,014.56

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Solution

The fourth proportional to 5,666, 8,489.52 and 4,014.56 is: 6,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666 : 8,489.52 = 4,014.56 : x
  2. Step 2: Convert to fraction form
    5,666/8,489.52 = 4,014.56/x
  3. Step 3: Cross multiply
    5,666x = 8,489.52 × 4,014.56
  4. Step 4: Simplify right side
    5,666x = 34,081,687.41
  5. Step 5: Solve for x
    x = 34,081,687.41/5,666
  6. Step 6: Final answer
    x = 6,015.12

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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.