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Finding the Fourth Proportional to 3,713.08, 5,564.82 and 3,249.76

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Solution

The fourth proportional to 3,713.08, 5,564.82 and 3,249.76 is: 4,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.08 : 5,564.82 = 3,249.76 : x
  2. Step 2: Convert to fraction form
    3,713.08/5,564.82 = 3,249.76/x
  3. Step 3: Cross multiply
    3,713.08x = 5,564.82 × 3,249.76
  4. Step 4: Simplify right side
    3,713.08x = 18,084,329.44
  5. Step 5: Solve for x
    x = 18,084,329.44/3,713.08
  6. Step 6: Final answer
    x = 4,870.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.