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Finding the Fourth Proportional to 5,900.28, 8,142.38 and 3,542.42

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Solution

The fourth proportional to 5,900.28, 8,142.38 and 3,542.42 is: 4,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.28 : 8,142.38 = 3,542.42 : x
  2. Step 2: Convert to fraction form
    5,900.28/8,142.38 = 3,542.42/x
  3. Step 3: Cross multiply
    5,900.28x = 8,142.38 × 3,542.42
  4. Step 4: Simplify right side
    5,900.28x = 28,843,671.34
  5. Step 5: Solve for x
    x = 28,843,671.34/5,900.28
  6. Step 6: Final answer
    x = 4,888.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.