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Finding the Fourth Proportional to 3,209.78, 4,817.10 and 2,113.76

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Solution

The fourth proportional to 3,209.78, 4,817.10 and 2,113.76 is: 3,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.78 : 4,817.10 = 2,113.76 : x
  2. Step 2: Convert to fraction form
    3,209.78/4,817.10 = 2,113.76/x
  3. Step 3: Cross multiply
    3,209.78x = 4,817.10 × 2,113.76
  4. Step 4: Simplify right side
    3,209.78x = 10,182,193.30
  5. Step 5: Solve for x
    x = 10,182,193.30/3,209.78
  6. Step 6: Final answer
    x = 3,172.24

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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.