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Finding the Fourth Proportional to 4,906.74, 7,360.11 and 3,266.49

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Solution

The fourth proportional to 4,906.74, 7,360.11 and 3,266.49 is: 4,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.74 : 7,360.11 = 3,266.49 : x
  2. Step 2: Convert to fraction form
    4,906.74/7,360.11 = 3,266.49/x
  3. Step 3: Cross multiply
    4,906.74x = 7,360.11 × 3,266.49
  4. Step 4: Simplify right side
    4,906.74x = 24,041,725.71
  5. Step 5: Solve for x
    x = 24,041,725.71/4,906.74
  6. Step 6: Final answer
    x = 4,899.74

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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.