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Finding the Fourth Proportional to 3,860.69, 5,327.66 and 2,288.75

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Solution

The fourth proportional to 3,860.69, 5,327.66 and 2,288.75 is: 3,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.69 : 5,327.66 = 2,288.75 : x
  2. Step 2: Convert to fraction form
    3,860.69/5,327.66 = 2,288.75/x
  3. Step 3: Cross multiply
    3,860.69x = 5,327.66 × 2,288.75
  4. Step 4: Simplify right side
    3,860.69x = 12,193,670.38
  5. Step 5: Solve for x
    x = 12,193,670.38/3,860.69
  6. Step 6: Final answer
    x = 3,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.