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Finding the Fourth Proportional to 5,706.81, 8,560.76 and 2,243.25

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Solution

The fourth proportional to 5,706.81, 8,560.76 and 2,243.25 is: 3,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.81 : 8,560.76 = 2,243.25 : x
  2. Step 2: Convert to fraction form
    5,706.81/8,560.76 = 2,243.25/x
  3. Step 3: Cross multiply
    5,706.81x = 8,560.76 × 2,243.25
  4. Step 4: Simplify right side
    5,706.81x = 19,203,913.65
  5. Step 5: Solve for x
    x = 19,203,913.65/5,706.81
  6. Step 6: Final answer
    x = 3,365.09

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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.