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Finding the Fourth Proportional to 3,863.52, 5,795.69 and 1,266.66

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Solution

The fourth proportional to 3,863.52, 5,795.69 and 1,266.66 is: 1,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.52 : 5,795.69 = 1,266.66 : x
  2. Step 2: Convert to fraction form
    3,863.52/5,795.69 = 1,266.66/x
  3. Step 3: Cross multiply
    3,863.52x = 5,795.69 × 1,266.66
  4. Step 4: Simplify right side
    3,863.52x = 7,341,162.36
  5. Step 5: Solve for x
    x = 7,341,162.36/3,863.52
  6. Step 6: Final answer
    x = 1,900.12

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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.