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Finding the Fourth Proportional to 3,492.96, 4,822.56 and 2,168.61

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Solution

The fourth proportional to 3,492.96, 4,822.56 and 2,168.61 is: 2,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 4,822.56 = 2,168.61 : x
  2. Step 2: Convert to fraction form
    3,492.96/4,822.56 = 2,168.61/x
  3. Step 3: Cross multiply
    3,492.96x = 4,822.56 × 2,168.61
  4. Step 4: Simplify right side
    3,492.96x = 10,458,251.84
  5. Step 5: Solve for x
    x = 10,458,251.84/3,492.96
  6. Step 6: Final answer
    x = 2,994.09

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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.