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Finding the Fourth Proportional to 3,996.42, 5,995.49 and 1,531.24

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Solution

The fourth proportional to 3,996.42, 5,995.49 and 1,531.24 is: 2,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.42 : 5,995.49 = 1,531.24 : x
  2. Step 2: Convert to fraction form
    3,996.42/5,995.49 = 1,531.24/x
  3. Step 3: Cross multiply
    3,996.42x = 5,995.49 × 1,531.24
  4. Step 4: Simplify right side
    3,996.42x = 9,180,534.11
  5. Step 5: Solve for x
    x = 9,180,534.11/3,996.42
  6. Step 6: Final answer
    x = 2,297.19

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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.