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Finding the Fourth Proportional to 4,277.94, 5,902.17 and 2,389.22

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Solution

The fourth proportional to 4,277.94, 5,902.17 and 2,389.22 is: 3,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.94 : 5,902.17 = 2,389.22 : x
  2. Step 2: Convert to fraction form
    4,277.94/5,902.17 = 2,389.22/x
  3. Step 3: Cross multiply
    4,277.94x = 5,902.17 × 2,389.22
  4. Step 4: Simplify right side
    4,277.94x = 14,101,553.10
  5. Step 5: Solve for x
    x = 14,101,553.10/4,277.94
  6. Step 6: Final answer
    x = 3,296.34

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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.