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Finding the Fourth Proportional to 3,981.37, 5,494.90 and 2,866

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Solution

The fourth proportional to 3,981.37, 5,494.90 and 2,866 is: 3,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.37 : 5,494.90 = 2,866 : x
  2. Step 2: Convert to fraction form
    3,981.37/5,494.90 = 2,866/x
  3. Step 3: Cross multiply
    3,981.37x = 5,494.90 × 2,866
  4. Step 4: Simplify right side
    3,981.37x = 15,748,383.40
  5. Step 5: Solve for x
    x = 15,748,383.40/3,981.37
  6. Step 6: Final answer
    x = 3,955.52

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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.