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Finding the Fourth Proportional to 3,766.81, 5,198.01 and 2,088.08

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Solution

The fourth proportional to 3,766.81, 5,198.01 and 2,088.08 is: 2,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.81 : 5,198.01 = 2,088.08 : x
  2. Step 2: Convert to fraction form
    3,766.81/5,198.01 = 2,088.08/x
  3. Step 3: Cross multiply
    3,766.81x = 5,198.01 × 2,088.08
  4. Step 4: Simplify right side
    3,766.81x = 10,853,860.72
  5. Step 5: Solve for x
    x = 10,853,860.72/3,766.81
  6. Step 6: Final answer
    x = 2,881.45

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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.