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Finding the Fourth Proportional to 5,462.46, 7,538.22 and 2,978.46

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Solution

The fourth proportional to 5,462.46, 7,538.22 and 2,978.46 is: 4,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.46 : 7,538.22 = 2,978.46 : x
  2. Step 2: Convert to fraction form
    5,462.46/7,538.22 = 2,978.46/x
  3. Step 3: Cross multiply
    5,462.46x = 7,538.22 × 2,978.46
  4. Step 4: Simplify right side
    5,462.46x = 22,452,286.74
  5. Step 5: Solve for x
    x = 22,452,286.74/5,462.46
  6. Step 6: Final answer
    x = 4,110.29

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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.