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Finding the Fourth Proportional to 3,870.28, 5,339.04 and 2,297.80

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Solution

The fourth proportional to 3,870.28, 5,339.04 and 2,297.80 is: 3,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.28 : 5,339.04 = 2,297.80 : x
  2. Step 2: Convert to fraction form
    3,870.28/5,339.04 = 2,297.80/x
  3. Step 3: Cross multiply
    3,870.28x = 5,339.04 × 2,297.80
  4. Step 4: Simplify right side
    3,870.28x = 12,268,046.11
  5. Step 5: Solve for x
    x = 12,268,046.11/3,870.28
  6. Step 6: Final answer
    x = 3,169.81

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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.