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Finding the Fourth Proportional to 4,288.37, 5,922.17 and 2,965.49

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Solution

The fourth proportional to 4,288.37, 5,922.17 and 2,965.49 is: 4,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.37 : 5,922.17 = 2,965.49 : x
  2. Step 2: Convert to fraction form
    4,288.37/5,922.17 = 2,965.49/x
  3. Step 3: Cross multiply
    4,288.37x = 5,922.17 × 2,965.49
  4. Step 4: Simplify right side
    4,288.37x = 17,562,135.91
  5. Step 5: Solve for x
    x = 17,562,135.91/4,288.37
  6. Step 6: Final answer
    x = 4,095.29

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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.