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Finding the Fourth Proportional to 5,722.64, 8,584.44 and 1,826

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Solution

The fourth proportional to 5,722.64, 8,584.44 and 1,826 is: 2,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.64 : 8,584.44 = 1,826 : x
  2. Step 2: Convert to fraction form
    5,722.64/8,584.44 = 1,826/x
  3. Step 3: Cross multiply
    5,722.64x = 8,584.44 × 1,826
  4. Step 4: Simplify right side
    5,722.64x = 15,675,187.44
  5. Step 5: Solve for x
    x = 15,675,187.44/5,722.64
  6. Step 6: Final answer
    x = 2,739.15

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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.