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Finding the Fourth Proportional to 3,115.49, 4,286.49 and 2,365.08

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Solution

The fourth proportional to 3,115.49, 4,286.49 and 2,365.08 is: 3,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.49 : 4,286.49 = 2,365.08 : x
  2. Step 2: Convert to fraction form
    3,115.49/4,286.49 = 2,365.08/x
  3. Step 3: Cross multiply
    3,115.49x = 4,286.49 × 2,365.08
  4. Step 4: Simplify right side
    3,115.49x = 10,137,891.77
  5. Step 5: Solve for x
    x = 10,137,891.77/3,115.49
  6. Step 6: Final answer
    x = 3,254.03

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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.