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Finding the Fourth Proportional to 3,937.95, 5,434.97 and 2,992.20

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Solution

The fourth proportional to 3,937.95, 5,434.97 and 2,992.20 is: 4,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.95 : 5,434.97 = 2,992.20 : x
  2. Step 2: Convert to fraction form
    3,937.95/5,434.97 = 2,992.20/x
  3. Step 3: Cross multiply
    3,937.95x = 5,434.97 × 2,992.20
  4. Step 4: Simplify right side
    3,937.95x = 16,262,475.10
  5. Step 5: Solve for x
    x = 16,262,475.10/3,937.95
  6. Step 6: Final answer
    x = 4,129.69

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