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Finding the Fourth Proportional to 3,880.22, 5,353.77 and 2,286.93

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Solution

The fourth proportional to 3,880.22, 5,353.77 and 2,286.93 is: 3,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.22 : 5,353.77 = 2,286.93 : x
  2. Step 2: Convert to fraction form
    3,880.22/5,353.77 = 2,286.93/x
  3. Step 3: Cross multiply
    3,880.22x = 5,353.77 × 2,286.93
  4. Step 4: Simplify right side
    3,880.22x = 12,243,713.01
  5. Step 5: Solve for x
    x = 12,243,713.01/3,880.22
  6. Step 6: Final answer
    x = 3,155.42

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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.