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Finding the Fourth Proportional to 3,842.66, 5,765.13 and 1,245.54

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Solution

The fourth proportional to 3,842.66, 5,765.13 and 1,245.54 is: 1,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.66 : 5,765.13 = 1,245.54 : x
  2. Step 2: Convert to fraction form
    3,842.66/5,765.13 = 1,245.54/x
  3. Step 3: Cross multiply
    3,842.66x = 5,765.13 × 1,245.54
  4. Step 4: Simplify right side
    3,842.66x = 7,180,700.02
  5. Step 5: Solve for x
    x = 7,180,700.02/3,842.66
  6. Step 6: Final answer
    x = 1,868.68

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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.