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Finding the Fourth Proportional to 5,948.11, 8,208.32 and 3,709.83

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Solution

The fourth proportional to 5,948.11, 8,208.32 and 3,709.83 is: 5,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.11 : 8,208.32 = 3,709.83 : x
  2. Step 2: Convert to fraction form
    5,948.11/8,208.32 = 3,709.83/x
  3. Step 3: Cross multiply
    5,948.11x = 8,208.32 × 3,709.83
  4. Step 4: Simplify right side
    5,948.11x = 30,451,422.46
  5. Step 5: Solve for x
    x = 30,451,422.46/5,948.11
  6. Step 6: Final answer
    x = 5,119.51

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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.