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Finding the Fourth Proportional to 5,754.68, 7,941.59 and 3,202.46

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Solution

The fourth proportional to 5,754.68, 7,941.59 and 3,202.46 is: 4,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.68 : 7,941.59 = 3,202.46 : x
  2. Step 2: Convert to fraction form
    5,754.68/7,941.59 = 3,202.46/x
  3. Step 3: Cross multiply
    5,754.68x = 7,941.59 × 3,202.46
  4. Step 4: Simplify right side
    5,754.68x = 25,432,608.30
  5. Step 5: Solve for x
    x = 25,432,608.30/5,754.68
  6. Step 6: Final answer
    x = 4,419.47

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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.