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Finding the Fourth Proportional to 4,872.30, 7,308.42 and 1,174.53

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Solution

The fourth proportional to 4,872.30, 7,308.42 and 1,174.53 is: 1,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.30 : 7,308.42 = 1,174.53 : x
  2. Step 2: Convert to fraction form
    4,872.30/7,308.42 = 1,174.53/x
  3. Step 3: Cross multiply
    4,872.30x = 7,308.42 × 1,174.53
  4. Step 4: Simplify right side
    4,872.30x = 8,583,958.54
  5. Step 5: Solve for x
    x = 8,583,958.54/4,872.30
  6. Step 6: Final answer
    x = 1,761.79

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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.