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Finding the Fourth Proportional to 3,691.84, 5,093.46 and 2,366.27

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Solution

The fourth proportional to 3,691.84, 5,093.46 and 2,366.27 is: 3,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.84 : 5,093.46 = 2,366.27 : x
  2. Step 2: Convert to fraction form
    3,691.84/5,093.46 = 2,366.27/x
  3. Step 3: Cross multiply
    3,691.84x = 5,093.46 × 2,366.27
  4. Step 4: Simplify right side
    3,691.84x = 12,052,501.59
  5. Step 5: Solve for x
    x = 12,052,501.59/3,691.84
  6. Step 6: Final answer
    x = 3,264.63

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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.