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Finding the Fourth Proportional to 3,776.68, 5,198.88 and 3,276.37

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Solution

The fourth proportional to 3,776.68, 5,198.88 and 3,276.37 is: 4,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.68 : 5,198.88 = 3,276.37 : x
  2. Step 2: Convert to fraction form
    3,776.68/5,198.88 = 3,276.37/x
  3. Step 3: Cross multiply
    3,776.68x = 5,198.88 × 3,276.37
  4. Step 4: Simplify right side
    3,776.68x = 17,033,454.47
  5. Step 5: Solve for x
    x = 17,033,454.47/3,776.68
  6. Step 6: Final answer
    x = 4,510.17

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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.