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Finding the Fourth Proportional to 3,214.76, 4,820.02 and 2,115.80

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Solution

The fourth proportional to 3,214.76, 4,820.02 and 2,115.80 is: 3,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.76 : 4,820.02 = 2,115.80 : x
  2. Step 2: Convert to fraction form
    3,214.76/4,820.02 = 2,115.80/x
  3. Step 3: Cross multiply
    3,214.76x = 4,820.02 × 2,115.80
  4. Step 4: Simplify right side
    3,214.76x = 10,198,198.32
  5. Step 5: Solve for x
    x = 10,198,198.32/3,214.76
  6. Step 6: Final answer
    x = 3,172.30

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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.