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Finding the Fourth Proportional to 5,280.10, 7,912.86 and 5,122.42

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Solution

The fourth proportional to 5,280.10, 7,912.86 and 5,122.42 is: 7,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.10 : 7,912.86 = 5,122.42 : x
  2. Step 2: Convert to fraction form
    5,280.10/7,912.86 = 5,122.42/x
  3. Step 3: Cross multiply
    5,280.10x = 7,912.86 × 5,122.42
  4. Step 4: Simplify right side
    5,280.10x = 40,532,992.32
  5. Step 5: Solve for x
    x = 40,532,992.32/5,280.10
  6. Step 6: Final answer
    x = 7,676.56

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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.