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Finding the Fourth Proportional to 3,878.64, 5,352.78 and 2,199.48

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Solution

The fourth proportional to 3,878.64, 5,352.78 and 2,199.48 is: 3,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.64 : 5,352.78 = 2,199.48 : x
  2. Step 2: Convert to fraction form
    3,878.64/5,352.78 = 2,199.48/x
  3. Step 3: Cross multiply
    3,878.64x = 5,352.78 × 2,199.48
  4. Step 4: Simplify right side
    3,878.64x = 11,773,332.55
  5. Step 5: Solve for x
    x = 11,773,332.55/3,878.64
  6. Step 6: Final answer
    x = 3,035.43

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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.