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Finding the Fourth Proportional to 3,860.64, 5,791.86 and 1,263.42

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Solution

The fourth proportional to 3,860.64, 5,791.86 and 1,263.42 is: 1,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.64 : 5,791.86 = 1,263.42 : x
  2. Step 2: Convert to fraction form
    3,860.64/5,791.86 = 1,263.42/x
  3. Step 3: Cross multiply
    3,860.64x = 5,791.86 × 1,263.42
  4. Step 4: Simplify right side
    3,860.64x = 7,317,551.76
  5. Step 5: Solve for x
    x = 7,317,551.76/3,860.64
  6. Step 6: Final answer
    x = 1,895.42

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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.