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Finding the Fourth Proportional to 3,811.46, 5,259.74 and 2,218.44

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Solution

The fourth proportional to 3,811.46, 5,259.74 and 2,218.44 is: 3,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.46 : 5,259.74 = 2,218.44 : x
  2. Step 2: Convert to fraction form
    3,811.46/5,259.74 = 2,218.44/x
  3. Step 3: Cross multiply
    3,811.46x = 5,259.74 × 2,218.44
  4. Step 4: Simplify right side
    3,811.46x = 11,668,396.65
  5. Step 5: Solve for x
    x = 11,668,396.65/3,811.46
  6. Step 6: Final answer
    x = 3,061.40

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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.