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Finding the Fourth Proportional to 3,214.60, 4,821.90 and 3,171.40

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Solution

The fourth proportional to 3,214.60, 4,821.90 and 3,171.40 is: 4,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.60 : 4,821.90 = 3,171.40 : x
  2. Step 2: Convert to fraction form
    3,214.60/4,821.90 = 3,171.40/x
  3. Step 3: Cross multiply
    3,214.60x = 4,821.90 × 3,171.40
  4. Step 4: Simplify right side
    3,214.60x = 15,292,173.66
  5. Step 5: Solve for x
    x = 15,292,173.66/3,214.60
  6. Step 6: Final answer
    x = 4,757.10

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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.