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Finding the Fourth Proportional to 3,794.97, 5,237.43 and 2,302.77

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Solution

The fourth proportional to 3,794.97, 5,237.43 and 2,302.77 is: 3,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.97 : 5,237.43 = 2,302.77 : x
  2. Step 2: Convert to fraction form
    3,794.97/5,237.43 = 2,302.77/x
  3. Step 3: Cross multiply
    3,794.97x = 5,237.43 × 2,302.77
  4. Step 4: Simplify right side
    3,794.97x = 12,060,558.98
  5. Step 5: Solve for x
    x = 12,060,558.98/3,794.97
  6. Step 6: Final answer
    x = 3,178.04

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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.