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Finding the Fourth Proportional to 3,537.28, 5,306.02 and 940.22

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Solution

The fourth proportional to 3,537.28, 5,306.02 and 940.22 is: 1,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.28 : 5,306.02 = 940.22 : x
  2. Step 2: Convert to fraction form
    3,537.28/5,306.02 = 940.22/x
  3. Step 3: Cross multiply
    3,537.28x = 5,306.02 × 940.22
  4. Step 4: Simplify right side
    3,537.28x = 4,988,826.12
  5. Step 5: Solve for x
    x = 4,988,826.12/3,537.28
  6. Step 6: Final answer
    x = 1,410.36

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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.