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Finding the Fourth Proportional to 3,683.84, 5,080.27 and 2,489.05

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Solution

The fourth proportional to 3,683.84, 5,080.27 and 2,489.05 is: 3,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.84 : 5,080.27 = 2,489.05 : x
  2. Step 2: Convert to fraction form
    3,683.84/5,080.27 = 2,489.05/x
  3. Step 3: Cross multiply
    3,683.84x = 5,080.27 × 2,489.05
  4. Step 4: Simplify right side
    3,683.84x = 12,645,008.20
  5. Step 5: Solve for x
    x = 12,645,008.20/3,683.84
  6. Step 6: Final answer
    x = 3,432.56

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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.