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Finding the Fourth Proportional to 5,706.87, 8,561.67 and 1,811.28

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Solution

The fourth proportional to 5,706.87, 8,561.67 and 1,811.28 is: 2,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.87 : 8,561.67 = 1,811.28 : x
  2. Step 2: Convert to fraction form
    5,706.87/8,561.67 = 1,811.28/x
  3. Step 3: Cross multiply
    5,706.87x = 8,561.67 × 1,811.28
  4. Step 4: Simplify right side
    5,706.87x = 15,507,581.64
  5. Step 5: Solve for x
    x = 15,507,581.64/5,706.87
  6. Step 6: Final answer
    x = 2,717.35

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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.