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Finding the Fourth Proportional to 5,742.32, 7,924.12 and 3,259.12

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Solution

The fourth proportional to 5,742.32, 7,924.12 and 3,259.12 is: 4,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.32 : 7,924.12 = 3,259.12 : x
  2. Step 2: Convert to fraction form
    5,742.32/7,924.12 = 3,259.12/x
  3. Step 3: Cross multiply
    5,742.32x = 7,924.12 × 3,259.12
  4. Step 4: Simplify right side
    5,742.32x = 25,825,657.97
  5. Step 5: Solve for x
    x = 25,825,657.97/5,742.32
  6. Step 6: Final answer
    x = 4,497.43

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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.