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Finding the Fourth Proportional to 3,499.81, 5,251.50 and 2,330.64

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Solution

The fourth proportional to 3,499.81, 5,251.50 and 2,330.64 is: 3,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.81 : 5,251.50 = 2,330.64 : x
  2. Step 2: Convert to fraction form
    3,499.81/5,251.50 = 2,330.64/x
  3. Step 3: Cross multiply
    3,499.81x = 5,251.50 × 2,330.64
  4. Step 4: Simplify right side
    3,499.81x = 12,239,355.96
  5. Step 5: Solve for x
    x = 12,239,355.96/3,499.81
  6. Step 6: Final answer
    x = 3,497.15

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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.