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Finding the Fourth Proportional to 3,542.98, 5,315.39 and 1,350.52

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Solution

The fourth proportional to 3,542.98, 5,315.39 and 1,350.52 is: 2,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.98 : 5,315.39 = 1,350.52 : x
  2. Step 2: Convert to fraction form
    3,542.98/5,315.39 = 1,350.52/x
  3. Step 3: Cross multiply
    3,542.98x = 5,315.39 × 1,350.52
  4. Step 4: Simplify right side
    3,542.98x = 7,178,540.50
  5. Step 5: Solve for x
    x = 7,178,540.50/3,542.98
  6. Step 6: Final answer
    x = 2,026.13

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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.