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Finding the Fourth Proportional to 3,893.13, 5,373.14 and 2,322.14

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Solution

The fourth proportional to 3,893.13, 5,373.14 and 2,322.14 is: 3,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.13 : 5,373.14 = 2,322.14 : x
  2. Step 2: Convert to fraction form
    3,893.13/5,373.14 = 2,322.14/x
  3. Step 3: Cross multiply
    3,893.13x = 5,373.14 × 2,322.14
  4. Step 4: Simplify right side
    3,893.13x = 12,477,144.84
  5. Step 5: Solve for x
    x = 12,477,144.84/3,893.13
  6. Step 6: Final answer
    x = 3,204.91

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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.