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Finding the Fourth Proportional to 4,219.68, 5,822.22 and 2,451.24

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Solution

The fourth proportional to 4,219.68, 5,822.22 and 2,451.24 is: 3,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.68 : 5,822.22 = 2,451.24 : x
  2. Step 2: Convert to fraction form
    4,219.68/5,822.22 = 2,451.24/x
  3. Step 3: Cross multiply
    4,219.68x = 5,822.22 × 2,451.24
  4. Step 4: Simplify right side
    4,219.68x = 14,271,658.55
  5. Step 5: Solve for x
    x = 14,271,658.55/4,219.68
  6. Step 6: Final answer
    x = 3,382.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.