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Finding the Fourth Proportional to 5,400.95, 8,101.40 and 3,209.13

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Solution

The fourth proportional to 5,400.95, 8,101.40 and 3,209.13 is: 4,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.95 : 8,101.40 = 3,209.13 : x
  2. Step 2: Convert to fraction form
    5,400.95/8,101.40 = 3,209.13/x
  3. Step 3: Cross multiply
    5,400.95x = 8,101.40 × 3,209.13
  4. Step 4: Simplify right side
    5,400.95x = 25,998,429.74
  5. Step 5: Solve for x
    x = 25,998,429.74/5,400.95
  6. Step 6: Final answer
    x = 4,813.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.