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Finding the Fourth Proportional to 3,878.98, 5,352.70 and 2,200

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Solution

The fourth proportional to 3,878.98, 5,352.70 and 2,200 is: 3,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.98 : 5,352.70 = 2,200 : x
  2. Step 2: Convert to fraction form
    3,878.98/5,352.70 = 2,200/x
  3. Step 3: Cross multiply
    3,878.98x = 5,352.70 × 2,200
  4. Step 4: Simplify right side
    3,878.98x = 11,775,940
  5. Step 5: Solve for x
    x = 11,775,940/3,878.98
  6. Step 6: Final answer
    x = 3,035.83

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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.