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Finding the Fourth Proportional to 3,447.60, 5,171.40 and 2,065.20

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Solution

The fourth proportional to 3,447.60, 5,171.40 and 2,065.20 is: 3,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.60 : 5,171.40 = 2,065.20 : x
  2. Step 2: Convert to fraction form
    3,447.60/5,171.40 = 2,065.20/x
  3. Step 3: Cross multiply
    3,447.60x = 5,171.40 × 2,065.20
  4. Step 4: Simplify right side
    3,447.60x = 10,679,975.28
  5. Step 5: Solve for x
    x = 10,679,975.28/3,447.60
  6. Step 6: Final answer
    x = 3,097.80

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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.