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Finding the Fourth Proportional to 3,886.84, 5,367.78 and 2,561.56

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Solution

The fourth proportional to 3,886.84, 5,367.78 and 2,561.56 is: 3,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,367.78 = 2,561.56 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,367.78 = 2,561.56/x
  3. Step 3: Cross multiply
    3,886.84x = 5,367.78 × 2,561.56
  4. Step 4: Simplify right side
    3,886.84x = 13,749,890.54
  5. Step 5: Solve for x
    x = 13,749,890.54/3,886.84
  6. Step 6: Final answer
    x = 3,537.55

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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.