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Finding the Fourth Proportional to 3,642.38, 5,463.57 and 906.38

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Solution

The fourth proportional to 3,642.38, 5,463.57 and 906.38 is: 1,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.38 : 5,463.57 = 906.38 : x
  2. Step 2: Convert to fraction form
    3,642.38/5,463.57 = 906.38/x
  3. Step 3: Cross multiply
    3,642.38x = 5,463.57 × 906.38
  4. Step 4: Simplify right side
    3,642.38x = 4,952,070.58
  5. Step 5: Solve for x
    x = 4,952,070.58/3,642.38
  6. Step 6: Final answer
    x = 1,359.57

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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.