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Finding the Fourth Proportional to 7,204.95, 10,789.20 and 3,919.59

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Solution

The fourth proportional to 7,204.95, 10,789.20 and 3,919.59 is: 5,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.95 : 10,789.20 = 3,919.59 : x
  2. Step 2: Convert to fraction form
    7,204.95/10,789.20 = 3,919.59/x
  3. Step 3: Cross multiply
    7,204.95x = 10,789.20 × 3,919.59
  4. Step 4: Simplify right side
    7,204.95x = 42,289,240.43
  5. Step 5: Solve for x
    x = 42,289,240.43/7,204.95
  6. Step 6: Final answer
    x = 5,869.47

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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.