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Finding the Fourth Proportional to 3,875.82, 5,362.70 and 3,379.49

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Solution

The fourth proportional to 3,875.82, 5,362.70 and 3,379.49 is: 4,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.82 : 5,362.70 = 3,379.49 : x
  2. Step 2: Convert to fraction form
    3,875.82/5,362.70 = 3,379.49/x
  3. Step 3: Cross multiply
    3,875.82x = 5,362.70 × 3,379.49
  4. Step 4: Simplify right side
    3,875.82x = 18,123,147.31
  5. Step 5: Solve for x
    x = 18,123,147.31/3,875.82
  6. Step 6: Final answer
    x = 4,675.95

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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.