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Finding the Fourth Proportional to 3,870.48, 5,338.98 and 2,861.22

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Solution

The fourth proportional to 3,870.48, 5,338.98 and 2,861.22 is: 3,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.48 : 5,338.98 = 2,861.22 : x
  2. Step 2: Convert to fraction form
    3,870.48/5,338.98 = 2,861.22/x
  3. Step 3: Cross multiply
    3,870.48x = 5,338.98 × 2,861.22
  4. Step 4: Simplify right side
    3,870.48x = 15,275,996.36
  5. Step 5: Solve for x
    x = 15,275,996.36/3,870.48
  6. Step 6: Final answer
    x = 3,946.80

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