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Finding the Fourth Proportional to 3,805.83, 5,709.28 and 1,173.55

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Solution

The fourth proportional to 3,805.83, 5,709.28 and 1,173.55 is: 1,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.83 : 5,709.28 = 1,173.55 : x
  2. Step 2: Convert to fraction form
    3,805.83/5,709.28 = 1,173.55/x
  3. Step 3: Cross multiply
    3,805.83x = 5,709.28 × 1,173.55
  4. Step 4: Simplify right side
    3,805.83x = 6,700,114.20
  5. Step 5: Solve for x
    x = 6,700,114.20/3,805.83
  6. Step 6: Final answer
    x = 1,760.49

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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.