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Finding the Fourth Proportional to 5,171.40, 7,740.90 and 4,069.80

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Solution

The fourth proportional to 5,171.40, 7,740.90 and 4,069.80 is: 6,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.40 : 7,740.90 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    5,171.40/7,740.90 = 4,069.80/x
  3. Step 3: Cross multiply
    5,171.40x = 7,740.90 × 4,069.80
  4. Step 4: Simplify right side
    5,171.40x = 31,503,914.82
  5. Step 5: Solve for x
    x = 31,503,914.82/5,171.40
  6. Step 6: Final answer
    x = 6,091.95

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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.