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Finding the Fourth Proportional to 5,754.12, 7,941.46 and 3,237.24

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Solution

The fourth proportional to 5,754.12, 7,941.46 and 3,237.24 is: 4,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.12 : 7,941.46 = 3,237.24 : x
  2. Step 2: Convert to fraction form
    5,754.12/7,941.46 = 3,237.24/x
  3. Step 3: Cross multiply
    5,754.12x = 7,941.46 × 3,237.24
  4. Step 4: Simplify right side
    5,754.12x = 25,708,411.97
  5. Step 5: Solve for x
    x = 25,708,411.97/5,754.12
  6. Step 6: Final answer
    x = 4,467.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.