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Finding the Fourth Proportional to 3,906.26, 5,856.78 and 2,152.10

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Solution

The fourth proportional to 3,906.26, 5,856.78 and 2,152.10 is: 3,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.26 : 5,856.78 = 2,152.10 : x
  2. Step 2: Convert to fraction form
    3,906.26/5,856.78 = 2,152.10/x
  3. Step 3: Cross multiply
    3,906.26x = 5,856.78 × 2,152.10
  4. Step 4: Simplify right side
    3,906.26x = 12,604,386.84
  5. Step 5: Solve for x
    x = 12,604,386.84/3,906.26
  6. Step 6: Final answer
    x = 3,226.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.