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Finding the Fourth Proportional to 3,509.80, 4,844.04 and 3,138.76

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Solution

The fourth proportional to 3,509.80, 4,844.04 and 3,138.76 is: 4,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.80 : 4,844.04 = 3,138.76 : x
  2. Step 2: Convert to fraction form
    3,509.80/4,844.04 = 3,138.76/x
  3. Step 3: Cross multiply
    3,509.80x = 4,844.04 × 3,138.76
  4. Step 4: Simplify right side
    3,509.80x = 15,204,278.99
  5. Step 5: Solve for x
    x = 15,204,278.99/3,509.80
  6. Step 6: Final answer
    x = 4,331.95

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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.