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Finding the Fourth Proportional to 5,706.68, 8,560.50 and 1,811.48

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Solution

The fourth proportional to 5,706.68, 8,560.50 and 1,811.48 is: 2,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.68 : 8,560.50 = 1,811.48 : x
  2. Step 2: Convert to fraction form
    5,706.68/8,560.50 = 1,811.48/x
  3. Step 3: Cross multiply
    5,706.68x = 8,560.50 × 1,811.48
  4. Step 4: Simplify right side
    5,706.68x = 15,507,174.54
  5. Step 5: Solve for x
    x = 15,507,174.54/5,706.68
  6. Step 6: Final answer
    x = 2,717.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.