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Finding the Fourth Proportional to 4,607.68, 6,906.60 and 2,269.24

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Solution

The fourth proportional to 4,607.68, 6,906.60 and 2,269.24 is: 3,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.68 : 6,906.60 = 2,269.24 : x
  2. Step 2: Convert to fraction form
    4,607.68/6,906.60 = 2,269.24/x
  3. Step 3: Cross multiply
    4,607.68x = 6,906.60 × 2,269.24
  4. Step 4: Simplify right side
    4,607.68x = 15,672,732.98
  5. Step 5: Solve for x
    x = 15,672,732.98/4,607.68
  6. Step 6: Final answer
    x = 3,401.44

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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.