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Finding the Fourth Proportional to 3,836.40, 5,294.17 and 2,134.89

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Solution

The fourth proportional to 3,836.40, 5,294.17 and 2,134.89 is: 2,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.40 : 5,294.17 = 2,134.89 : x
  2. Step 2: Convert to fraction form
    3,836.40/5,294.17 = 2,134.89/x
  3. Step 3: Cross multiply
    3,836.40x = 5,294.17 × 2,134.89
  4. Step 4: Simplify right side
    3,836.40x = 11,302,470.59
  5. Step 5: Solve for x
    x = 11,302,470.59/3,836.40
  6. Step 6: Final answer
    x = 2,946.11

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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.