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Finding the Fourth Proportional to 5,139.84, 7,722.44 and 3,291.76

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Solution

The fourth proportional to 5,139.84, 7,722.44 and 3,291.76 is: 4,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.84 : 7,722.44 = 3,291.76 : x
  2. Step 2: Convert to fraction form
    5,139.84/7,722.44 = 3,291.76/x
  3. Step 3: Cross multiply
    5,139.84x = 7,722.44 × 3,291.76
  4. Step 4: Simplify right side
    5,139.84x = 25,420,419.09
  5. Step 5: Solve for x
    x = 25,420,419.09/5,139.84
  6. Step 6: Final answer
    x = 4,945.76

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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.