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Finding the Fourth Proportional to 3,773.62, 5,659.35 and 1,307.80

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Solution

The fourth proportional to 3,773.62, 5,659.35 and 1,307.80 is: 1,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.62 : 5,659.35 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    3,773.62/5,659.35 = 1,307.80/x
  3. Step 3: Cross multiply
    3,773.62x = 5,659.35 × 1,307.80
  4. Step 4: Simplify right side
    3,773.62x = 7,401,297.93
  5. Step 5: Solve for x
    x = 7,401,297.93/3,773.62
  6. Step 6: Final answer
    x = 1,961.33

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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.