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Finding the Fourth Proportional to 3,567.80, 5,351.72 and 1,102.56

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Solution

The fourth proportional to 3,567.80, 5,351.72 and 1,102.56 is: 1,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.80 : 5,351.72 = 1,102.56 : x
  2. Step 2: Convert to fraction form
    3,567.80/5,351.72 = 1,102.56/x
  3. Step 3: Cross multiply
    3,567.80x = 5,351.72 × 1,102.56
  4. Step 4: Simplify right side
    3,567.80x = 5,900,586.89
  5. Step 5: Solve for x
    x = 5,900,586.89/3,567.80
  6. Step 6: Final answer
    x = 1,653.85

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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.