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Finding the Fourth Proportional to 3,838.88, 5,297.76 and 2,182.88

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Solution

The fourth proportional to 3,838.88, 5,297.76 and 2,182.88 is: 3,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.88 : 5,297.76 = 2,182.88 : x
  2. Step 2: Convert to fraction form
    3,838.88/5,297.76 = 2,182.88/x
  3. Step 3: Cross multiply
    3,838.88x = 5,297.76 × 2,182.88
  4. Step 4: Simplify right side
    3,838.88x = 11,564,374.35
  5. Step 5: Solve for x
    x = 11,564,374.35/3,838.88
  6. Step 6: Final answer
    x = 3,012.43

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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.