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Finding the Fourth Proportional to 3,138.71, 4,329.90 and 2,076.21

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Solution

The fourth proportional to 3,138.71, 4,329.90 and 2,076.21 is: 2,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.71 : 4,329.90 = 2,076.21 : x
  2. Step 2: Convert to fraction form
    3,138.71/4,329.90 = 2,076.21/x
  3. Step 3: Cross multiply
    3,138.71x = 4,329.90 × 2,076.21
  4. Step 4: Simplify right side
    3,138.71x = 8,989,781.68
  5. Step 5: Solve for x
    x = 8,989,781.68/3,138.71
  6. Step 6: Final answer
    x = 2,864.17

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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.