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Finding the Fourth Proportional to 3,838.97, 5,297.98 and 2,346.66

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Solution

The fourth proportional to 3,838.97, 5,297.98 and 2,346.66 is: 3,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.97 : 5,297.98 = 2,346.66 : x
  2. Step 2: Convert to fraction form
    3,838.97/5,297.98 = 2,346.66/x
  3. Step 3: Cross multiply
    3,838.97x = 5,297.98 × 2,346.66
  4. Step 4: Simplify right side
    3,838.97x = 12,432,557.75
  5. Step 5: Solve for x
    x = 12,432,557.75/3,838.97
  6. Step 6: Final answer
    x = 3,238.51

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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.