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Finding the Fourth Proportional to 5,139.30, 7,712.55 and 3,294.90

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Solution

The fourth proportional to 5,139.30, 7,712.55 and 3,294.90 is: 4,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.30 : 7,712.55 = 3,294.90 : x
  2. Step 2: Convert to fraction form
    5,139.30/7,712.55 = 3,294.90/x
  3. Step 3: Cross multiply
    5,139.30x = 7,712.55 × 3,294.90
  4. Step 4: Simplify right side
    5,139.30x = 25,412,081.00
  5. Step 5: Solve for x
    x = 25,412,081.00/5,139.30
  6. Step 6: Final answer
    x = 4,944.66

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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.