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Finding the Fourth Proportional to 5,397.44, 7,442.88 and 3,824.96

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Solution

The fourth proportional to 5,397.44, 7,442.88 and 3,824.96 is: 5,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.44 : 7,442.88 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    5,397.44/7,442.88 = 3,824.96/x
  3. Step 3: Cross multiply
    5,397.44x = 7,442.88 × 3,824.96
  4. Step 4: Simplify right side
    5,397.44x = 28,468,718.28
  5. Step 5: Solve for x
    x = 28,468,718.28/5,397.44
  6. Step 6: Final answer
    x = 5,274.49

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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.