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Finding the Fourth Proportional to 4,755.50, 7,133.12 and 1,468.12

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Solution

The fourth proportional to 4,755.50, 7,133.12 and 1,468.12 is: 2,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.50 : 7,133.12 = 1,468.12 : x
  2. Step 2: Convert to fraction form
    4,755.50/7,133.12 = 1,468.12/x
  3. Step 3: Cross multiply
    4,755.50x = 7,133.12 × 1,468.12
  4. Step 4: Simplify right side
    4,755.50x = 10,472,233.13
  5. Step 5: Solve for x
    x = 10,472,233.13/4,755.50
  6. Step 6: Final answer
    x = 2,202.13

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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.