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Finding the Fourth Proportional to 5,655.80, 8,481.56 and 2,277.56

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Solution

The fourth proportional to 5,655.80, 8,481.56 and 2,277.56 is: 3,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.80 : 8,481.56 = 2,277.56 : x
  2. Step 2: Convert to fraction form
    5,655.80/8,481.56 = 2,277.56/x
  3. Step 3: Cross multiply
    5,655.80x = 8,481.56 × 2,277.56
  4. Step 4: Simplify right side
    5,655.80x = 19,317,261.79
  5. Step 5: Solve for x
    x = 19,317,261.79/5,655.80
  6. Step 6: Final answer
    x = 3,415.48

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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.