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Finding the Fourth Proportional to 4,610.66, 6,926.22 and 2,856.96

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Solution

The fourth proportional to 4,610.66, 6,926.22 and 2,856.96 is: 4,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.66 : 6,926.22 = 2,856.96 : x
  2. Step 2: Convert to fraction form
    4,610.66/6,926.22 = 2,856.96/x
  3. Step 3: Cross multiply
    4,610.66x = 6,926.22 × 2,856.96
  4. Step 4: Simplify right side
    4,610.66x = 19,787,933.49
  5. Step 5: Solve for x
    x = 19,787,933.49/4,610.66
  6. Step 6: Final answer
    x = 4,291.78

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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.