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Finding the Fourth Proportional to 3,922.88, 5,401.72 and 3,390.81

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Solution

The fourth proportional to 3,922.88, 5,401.72 and 3,390.81 is: 4,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.88 : 5,401.72 = 3,390.81 : x
  2. Step 2: Convert to fraction form
    3,922.88/5,401.72 = 3,390.81/x
  3. Step 3: Cross multiply
    3,922.88x = 5,401.72 × 3,390.81
  4. Step 4: Simplify right side
    3,922.88x = 18,316,179.18
  5. Step 5: Solve for x
    x = 18,316,179.18/3,922.88
  6. Step 6: Final answer
    x = 4,669.07

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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.