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Finding the Fourth Proportional to 3,871.44, 5,340.80 and 2,277.56

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Solution

The fourth proportional to 3,871.44, 5,340.80 and 2,277.56 is: 3,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.44 : 5,340.80 = 2,277.56 : x
  2. Step 2: Convert to fraction form
    3,871.44/5,340.80 = 2,277.56/x
  3. Step 3: Cross multiply
    3,871.44x = 5,340.80 × 2,277.56
  4. Step 4: Simplify right side
    3,871.44x = 12,163,992.45
  5. Step 5: Solve for x
    x = 12,163,992.45/3,871.44
  6. Step 6: Final answer
    x = 3,141.98

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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.