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Finding the Fourth Proportional to 5,280.72, 7,919.48 and 2,202

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Solution

The fourth proportional to 5,280.72, 7,919.48 and 2,202 is: 3,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.72 : 7,919.48 = 2,202 : x
  2. Step 2: Convert to fraction form
    5,280.72/7,919.48 = 2,202/x
  3. Step 3: Cross multiply
    5,280.72x = 7,919.48 × 2,202
  4. Step 4: Simplify right side
    5,280.72x = 17,438,694.96
  5. Step 5: Solve for x
    x = 17,438,694.96/5,280.72
  6. Step 6: Final answer
    x = 3,302.33

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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.