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Finding the Fourth Proportional to 5,718.80, 8,578.84 and 1,822.32

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Solution

The fourth proportional to 5,718.80, 8,578.84 and 1,822.32 is: 2,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.80 : 8,578.84 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    5,718.80/8,578.84 = 1,822.32/x
  3. Step 3: Cross multiply
    5,718.80x = 8,578.84 × 1,822.32
  4. Step 4: Simplify right side
    5,718.80x = 15,633,391.71
  5. Step 5: Solve for x
    x = 15,633,391.71/5,718.80
  6. Step 6: Final answer
    x = 2,733.68

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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.