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Finding the Fourth Proportional to 3,864.42, 5,795.42 and 1,266.75

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Solution

The fourth proportional to 3,864.42, 5,795.42 and 1,266.75 is: 1,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.42 : 5,795.42 = 1,266.75 : x
  2. Step 2: Convert to fraction form
    3,864.42/5,795.42 = 1,266.75/x
  3. Step 3: Cross multiply
    3,864.42x = 5,795.42 × 1,266.75
  4. Step 4: Simplify right side
    3,864.42x = 7,341,341.95
  5. Step 5: Solve for x
    x = 7,341,341.95/3,864.42
  6. Step 6: Final answer
    x = 1,899.73

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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.