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Finding the Fourth Proportional to 5,124, 7,071.44 and 2,916

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Solution

The fourth proportional to 5,124, 7,071.44 and 2,916 is: 4,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124 : 7,071.44 = 2,916 : x
  2. Step 2: Convert to fraction form
    5,124/7,071.44 = 2,916/x
  3. Step 3: Cross multiply
    5,124x = 7,071.44 × 2,916
  4. Step 4: Simplify right side
    5,124x = 20,620,319.04
  5. Step 5: Solve for x
    x = 20,620,319.04/5,124
  6. Step 6: Final answer
    x = 4,024.26

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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.