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Finding the Fourth Proportional to 3,860.52, 5,791.50 and 1,263.48

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Solution

The fourth proportional to 3,860.52, 5,791.50 and 1,263.48 is: 1,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.52 : 5,791.50 = 1,263.48 : x
  2. Step 2: Convert to fraction form
    3,860.52/5,791.50 = 1,263.48/x
  3. Step 3: Cross multiply
    3,860.52x = 5,791.50 × 1,263.48
  4. Step 4: Simplify right side
    3,860.52x = 7,317,444.42
  5. Step 5: Solve for x
    x = 7,317,444.42/3,860.52
  6. Step 6: Final answer
    x = 1,895.46

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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.