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Finding the Fourth Proportional to 4,006.96, 5,530 and 2,516

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Solution

The fourth proportional to 4,006.96, 5,530 and 2,516 is: 3,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.96 : 5,530 = 2,516 : x
  2. Step 2: Convert to fraction form
    4,006.96/5,530 = 2,516/x
  3. Step 3: Cross multiply
    4,006.96x = 5,530 × 2,516
  4. Step 4: Simplify right side
    4,006.96x = 13,913,480
  5. Step 5: Solve for x
    x = 13,913,480/4,006.96
  6. Step 6: Final answer
    x = 3,472.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.