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Finding the Fourth Proportional to 3,878.79, 5,352.28 and 2,199.86

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Solution

The fourth proportional to 3,878.79, 5,352.28 and 2,199.86 is: 3,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.79 : 5,352.28 = 2,199.86 : x
  2. Step 2: Convert to fraction form
    3,878.79/5,352.28 = 2,199.86/x
  3. Step 3: Cross multiply
    3,878.79x = 5,352.28 × 2,199.86
  4. Step 4: Simplify right side
    3,878.79x = 11,774,266.68
  5. Step 5: Solve for x
    x = 11,774,266.68/3,878.79
  6. Step 6: Final answer
    x = 3,035.55

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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.