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Finding the Fourth Proportional to 4,773.43, 7,160.10 and 1,486.55

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Solution

The fourth proportional to 4,773.43, 7,160.10 and 1,486.55 is: 2,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.43 : 7,160.10 = 1,486.55 : x
  2. Step 2: Convert to fraction form
    4,773.43/7,160.10 = 1,486.55/x
  3. Step 3: Cross multiply
    4,773.43x = 7,160.10 × 1,486.55
  4. Step 4: Simplify right side
    4,773.43x = 10,643,858.98
  5. Step 5: Solve for x
    x = 10,643,858.98/4,773.43
  6. Step 6: Final answer
    x = 2,229.81

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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.