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Finding the Fourth Proportional to 3,927.75, 5,888.12 and 1,589.49

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Solution

The fourth proportional to 3,927.75, 5,888.12 and 1,589.49 is: 2,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.75 : 5,888.12 = 1,589.49 : x
  2. Step 2: Convert to fraction form
    3,927.75/5,888.12 = 1,589.49/x
  3. Step 3: Cross multiply
    3,927.75x = 5,888.12 × 1,589.49
  4. Step 4: Simplify right side
    3,927.75x = 9,359,099.91
  5. Step 5: Solve for x
    x = 9,359,099.91/3,927.75
  6. Step 6: Final answer
    x = 2,382.81

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1.5x scale

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.