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Finding the Fourth Proportional to 3,871.08, 5,816.78 and 2,117.22

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Solution

The fourth proportional to 3,871.08, 5,816.78 and 2,117.22 is: 3,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.08 : 5,816.78 = 2,117.22 : x
  2. Step 2: Convert to fraction form
    3,871.08/5,816.78 = 2,117.22/x
  3. Step 3: Cross multiply
    3,871.08x = 5,816.78 × 2,117.22
  4. Step 4: Simplify right side
    3,871.08x = 12,315,402.95
  5. Step 5: Solve for x
    x = 12,315,402.95/3,871.08
  6. Step 6: Final answer
    x = 3,181.39

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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.