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Finding the Fourth Proportional to 3,863.56, 5,795.88 and 1,265.98

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Solution

The fourth proportional to 3,863.56, 5,795.88 and 1,265.98 is: 1,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.56 : 5,795.88 = 1,265.98 : x
  2. Step 2: Convert to fraction form
    3,863.56/5,795.88 = 1,265.98/x
  3. Step 3: Cross multiply
    3,863.56x = 5,795.88 × 1,265.98
  4. Step 4: Simplify right side
    3,863.56x = 7,337,468.16
  5. Step 5: Solve for x
    x = 7,337,468.16/3,863.56
  6. Step 6: Final answer
    x = 1,899.15

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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.