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Finding the Fourth Proportional to 3,878.78, 5,352.83 and 2,200.14

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Solution

The fourth proportional to 3,878.78, 5,352.83 and 2,200.14 is: 3,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.78 : 5,352.83 = 2,200.14 : x
  2. Step 2: Convert to fraction form
    3,878.78/5,352.83 = 2,200.14/x
  3. Step 3: Cross multiply
    3,878.78x = 5,352.83 × 2,200.14
  4. Step 4: Simplify right side
    3,878.78x = 11,776,964.40
  5. Step 5: Solve for x
    x = 11,776,964.40/3,878.78
  6. Step 6: Final answer
    x = 3,036.26

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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.