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Finding the Fourth Proportional to 5,868.82, 8,101.68 and 3,769.30

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Solution

The fourth proportional to 5,868.82, 8,101.68 and 3,769.30 is: 5,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.82 : 8,101.68 = 3,769.30 : x
  2. Step 2: Convert to fraction form
    5,868.82/8,101.68 = 3,769.30/x
  3. Step 3: Cross multiply
    5,868.82x = 8,101.68 × 3,769.30
  4. Step 4: Simplify right side
    5,868.82x = 30,537,662.42
  5. Step 5: Solve for x
    x = 30,537,662.42/5,868.82
  6. Step 6: Final answer
    x = 5,203.37

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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.