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Finding the Fourth Proportional to 5,682.64, 8,523.94 and 1,578.64

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Solution

The fourth proportional to 5,682.64, 8,523.94 and 1,578.64 is: 2,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.64 : 8,523.94 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    5,682.64/8,523.94 = 1,578.64/x
  3. Step 3: Cross multiply
    5,682.64x = 8,523.94 × 1,578.64
  4. Step 4: Simplify right side
    5,682.64x = 13,456,232.64
  5. Step 5: Solve for x
    x = 13,456,232.64/5,682.64
  6. Step 6: Final answer
    x = 2,367.95

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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.