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Finding the Fourth Proportional to 3,542.74, 5,314.14 and 3,154.54

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Solution

The fourth proportional to 3,542.74, 5,314.14 and 3,154.54 is: 4,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.74 : 5,314.14 = 3,154.54 : x
  2. Step 2: Convert to fraction form
    3,542.74/5,314.14 = 3,154.54/x
  3. Step 3: Cross multiply
    3,542.74x = 5,314.14 × 3,154.54
  4. Step 4: Simplify right side
    3,542.74x = 16,763,667.20
  5. Step 5: Solve for x
    x = 16,763,667.20/3,542.74
  6. Step 6: Final answer
    x = 4,731.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.