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Finding the Fourth Proportional to 3,776.18, 5,198.19 and 3,275.87

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Solution

The fourth proportional to 3,776.18, 5,198.19 and 3,275.87 is: 4,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.18 : 5,198.19 = 3,275.87 : x
  2. Step 2: Convert to fraction form
    3,776.18/5,198.19 = 3,275.87/x
  3. Step 3: Cross multiply
    3,776.18x = 5,198.19 × 3,275.87
  4. Step 4: Simplify right side
    3,776.18x = 17,028,594.68
  5. Step 5: Solve for x
    x = 17,028,594.68/3,776.18
  6. Step 6: Final answer
    x = 4,509.48

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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.