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Finding the Fourth Proportional to 3,909.16, 5,390.47 and 3,195.67

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Solution

The fourth proportional to 3,909.16, 5,390.47 and 3,195.67 is: 4,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.16 : 5,390.47 = 3,195.67 : x
  2. Step 2: Convert to fraction form
    3,909.16/5,390.47 = 3,195.67/x
  3. Step 3: Cross multiply
    3,909.16x = 5,390.47 × 3,195.67
  4. Step 4: Simplify right side
    3,909.16x = 17,226,163.26
  5. Step 5: Solve for x
    x = 17,226,163.26/3,909.16
  6. Step 6: Final answer
    x = 4,406.62

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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.