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Finding the Fourth Proportional to 5,690.52, 7,844.42 and 4,493.48

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Solution

The fourth proportional to 5,690.52, 7,844.42 and 4,493.48 is: 6,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.52 : 7,844.42 = 4,493.48 : x
  2. Step 2: Convert to fraction form
    5,690.52/7,844.42 = 4,493.48/x
  3. Step 3: Cross multiply
    5,690.52x = 7,844.42 × 4,493.48
  4. Step 4: Simplify right side
    5,690.52x = 35,248,744.38
  5. Step 5: Solve for x
    x = 35,248,744.38/5,690.52
  6. Step 6: Final answer
    x = 6,194.29

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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.