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Finding the Fourth Proportional to 5,722.45, 8,584.21 and 1,773.74

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Solution

The fourth proportional to 5,722.45, 8,584.21 and 1,773.74 is: 2,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.45 : 8,584.21 = 1,773.74 : x
  2. Step 2: Convert to fraction form
    5,722.45/8,584.21 = 1,773.74/x
  3. Step 3: Cross multiply
    5,722.45x = 8,584.21 × 1,773.74
  4. Step 4: Simplify right side
    5,722.45x = 15,226,176.16
  5. Step 5: Solve for x
    x = 15,226,176.16/5,722.45
  6. Step 6: Final answer
    x = 2,660.78

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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.