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Finding the Fourth Proportional to 3,642.44, 5,463.66 and 906.44

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Solution

The fourth proportional to 3,642.44, 5,463.66 and 906.44 is: 1,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.44 : 5,463.66 = 906.44 : x
  2. Step 2: Convert to fraction form
    3,642.44/5,463.66 = 906.44/x
  3. Step 3: Cross multiply
    3,642.44x = 5,463.66 × 906.44
  4. Step 4: Simplify right side
    3,642.44x = 4,952,479.97
  5. Step 5: Solve for x
    x = 4,952,479.97/3,642.44
  6. Step 6: Final answer
    x = 1,359.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.