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Finding the Fourth Proportional to 5,102.16, 7,648.92 and 2,022

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Solution

The fourth proportional to 5,102.16, 7,648.92 and 2,022 is: 3,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.16 : 7,648.92 = 2,022 : x
  2. Step 2: Convert to fraction form
    5,102.16/7,648.92 = 2,022/x
  3. Step 3: Cross multiply
    5,102.16x = 7,648.92 × 2,022
  4. Step 4: Simplify right side
    5,102.16x = 15,466,116.24
  5. Step 5: Solve for x
    x = 15,466,116.24/5,102.16
  6. Step 6: Final answer
    x = 3,031.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.