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Finding the Fourth Proportional to 4,992.13, 7,490.17 and 3,142.90

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Solution

The fourth proportional to 4,992.13, 7,490.17 and 3,142.90 is: 4,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.13 : 7,490.17 = 3,142.90 : x
  2. Step 2: Convert to fraction form
    4,992.13/7,490.17 = 3,142.90/x
  3. Step 3: Cross multiply
    4,992.13x = 7,490.17 × 3,142.90
  4. Step 4: Simplify right side
    4,992.13x = 23,540,868.58
  5. Step 5: Solve for x
    x = 23,540,868.58/4,992.13
  6. Step 6: Final answer
    x = 4,715.59

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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.