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Finding the Fourth Proportional to 5,168, 7,754.88 and 2,432

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Solution

The fourth proportional to 5,168, 7,754.88 and 2,432 is: 3,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168 : 7,754.88 = 2,432 : x
  2. Step 2: Convert to fraction form
    5,168/7,754.88 = 2,432/x
  3. Step 3: Cross multiply
    5,168x = 7,754.88 × 2,432
  4. Step 4: Simplify right side
    5,168x = 18,859,868.16
  5. Step 5: Solve for x
    x = 18,859,868.16/5,168
  6. Step 6: Final answer
    x = 3,649.36

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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.