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Finding the Fourth Proportional to 3,959.26, 5,941.26 and 1,586.92

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Solution

The fourth proportional to 3,959.26, 5,941.26 and 1,586.92 is: 2,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.26 : 5,941.26 = 1,586.92 : x
  2. Step 2: Convert to fraction form
    3,959.26/5,941.26 = 1,586.92/x
  3. Step 3: Cross multiply
    3,959.26x = 5,941.26 × 1,586.92
  4. Step 4: Simplify right side
    3,959.26x = 9,428,304.32
  5. Step 5: Solve for x
    x = 9,428,304.32/3,959.26
  6. Step 6: Final answer
    x = 2,381.33

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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.