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Finding the Fourth Proportional to 3,825.77, 5,738.66 and 1,230.53

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Solution

The fourth proportional to 3,825.77, 5,738.66 and 1,230.53 is: 1,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.77 : 5,738.66 = 1,230.53 : x
  2. Step 2: Convert to fraction form
    3,825.77/5,738.66 = 1,230.53/x
  3. Step 3: Cross multiply
    3,825.77x = 5,738.66 × 1,230.53
  4. Step 4: Simplify right side
    3,825.77x = 7,061,587.14
  5. Step 5: Solve for x
    x = 7,061,587.14/3,825.77
  6. Step 6: Final answer
    x = 1,845.80

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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.