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Finding the Fourth Proportional to 5,679.84, 7,838.22 and 3,162.12

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Solution

The fourth proportional to 5,679.84, 7,838.22 and 3,162.12 is: 4,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.84 : 7,838.22 = 3,162.12 : x
  2. Step 2: Convert to fraction form
    5,679.84/7,838.22 = 3,162.12/x
  3. Step 3: Cross multiply
    5,679.84x = 7,838.22 × 3,162.12
  4. Step 4: Simplify right side
    5,679.84x = 24,785,392.23
  5. Step 5: Solve for x
    x = 24,785,392.23/5,679.84
  6. Step 6: Final answer
    x = 4,363.75

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1.5x scale

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.