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Finding the Fourth Proportional to 5,278.72, 7,916.48 and 2,200

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Solution

The fourth proportional to 5,278.72, 7,916.48 and 2,200 is: 3,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.72 : 7,916.48 = 2,200 : x
  2. Step 2: Convert to fraction form
    5,278.72/7,916.48 = 2,200/x
  3. Step 3: Cross multiply
    5,278.72x = 7,916.48 × 2,200
  4. Step 4: Simplify right side
    5,278.72x = 17,416,256
  5. Step 5: Solve for x
    x = 17,416,256/5,278.72
  6. Step 6: Final answer
    x = 3,299.33

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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.