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Finding the Fourth Proportional to 5,114.12, 7,054.02 and 3,122.12

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Solution

The fourth proportional to 5,114.12, 7,054.02 and 3,122.12 is: 4,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.12 : 7,054.02 = 3,122.12 : x
  2. Step 2: Convert to fraction form
    5,114.12/7,054.02 = 3,122.12/x
  3. Step 3: Cross multiply
    5,114.12x = 7,054.02 × 3,122.12
  4. Step 4: Simplify right side
    5,114.12x = 22,023,496.92
  5. Step 5: Solve for x
    x = 22,023,496.92/5,114.12
  6. Step 6: Final answer
    x = 4,306.41

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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.