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Finding the Fourth Proportional to 3,796.34, 5,237.48 and 2,804

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Solution

The fourth proportional to 3,796.34, 5,237.48 and 2,804 is: 3,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.34 : 5,237.48 = 2,804 : x
  2. Step 2: Convert to fraction form
    3,796.34/5,237.48 = 2,804/x
  3. Step 3: Cross multiply
    3,796.34x = 5,237.48 × 2,804
  4. Step 4: Simplify right side
    3,796.34x = 14,685,893.92
  5. Step 5: Solve for x
    x = 14,685,893.92/3,796.34
  6. Step 6: Final answer
    x = 3,868.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.