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Finding the Fourth Proportional to 3,798.80, 5,240.40 and 2,226.62

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Solution

The fourth proportional to 3,798.80, 5,240.40 and 2,226.62 is: 3,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.80 : 5,240.40 = 2,226.62 : x
  2. Step 2: Convert to fraction form
    3,798.80/5,240.40 = 2,226.62/x
  3. Step 3: Cross multiply
    3,798.80x = 5,240.40 × 2,226.62
  4. Step 4: Simplify right side
    3,798.80x = 11,668,379.45
  5. Step 5: Solve for x
    x = 11,668,379.45/3,798.80
  6. Step 6: Final answer
    x = 3,071.60

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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.