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Finding the Fourth Proportional to 3,860.76, 5,789.62 and 1,361.81

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Solution

The fourth proportional to 3,860.76, 5,789.62 and 1,361.81 is: 2,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.76 : 5,789.62 = 1,361.81 : x
  2. Step 2: Convert to fraction form
    3,860.76/5,789.62 = 1,361.81/x
  3. Step 3: Cross multiply
    3,860.76x = 5,789.62 × 1,361.81
  4. Step 4: Simplify right side
    3,860.76x = 7,884,326.66
  5. Step 5: Solve for x
    x = 7,884,326.66/3,860.76
  6. Step 6: Final answer
    x = 2,042.17

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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.