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Finding the Fourth Proportional to 4,006, 5,527.90 and 2,513.44

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Solution

The fourth proportional to 4,006, 5,527.90 and 2,513.44 is: 3,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,527.90 = 2,513.44 : x
  2. Step 2: Convert to fraction form
    4,006/5,527.90 = 2,513.44/x
  3. Step 3: Cross multiply
    4,006x = 5,527.90 × 2,513.44
  4. Step 4: Simplify right side
    4,006x = 13,894,044.98
  5. Step 5: Solve for x
    x = 13,894,044.98/4,006
  6. Step 6: Final answer
    x = 3,468.31

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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.