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Finding the Fourth Proportional to 3,814.50, 5,266.08 and 2,398.62

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Solution

The fourth proportional to 3,814.50, 5,266.08 and 2,398.62 is: 3,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.50 : 5,266.08 = 2,398.62 : x
  2. Step 2: Convert to fraction form
    3,814.50/5,266.08 = 2,398.62/x
  3. Step 3: Cross multiply
    3,814.50x = 5,266.08 × 2,398.62
  4. Step 4: Simplify right side
    3,814.50x = 12,631,324.81
  5. Step 5: Solve for x
    x = 12,631,324.81/3,814.50
  6. Step 6: Final answer
    x = 3,311.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.