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Finding the Fourth Proportional to 3,494.13, 4,822.34 and 2,168.04

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Solution

The fourth proportional to 3,494.13, 4,822.34 and 2,168.04 is: 2,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.13 : 4,822.34 = 2,168.04 : x
  2. Step 2: Convert to fraction form
    3,494.13/4,822.34 = 2,168.04/x
  3. Step 3: Cross multiply
    3,494.13x = 4,822.34 × 2,168.04
  4. Step 4: Simplify right side
    3,494.13x = 10,455,026.01
  5. Step 5: Solve for x
    x = 10,455,026.01/3,494.13
  6. Step 6: Final answer
    x = 2,992.17

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