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Finding the Fourth Proportional to 3,184.68, 4,765.73 and 2,349.76

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Solution

The fourth proportional to 3,184.68, 4,765.73 and 2,349.76 is: 3,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.68 : 4,765.73 = 2,349.76 : x
  2. Step 2: Convert to fraction form
    3,184.68/4,765.73 = 2,349.76/x
  3. Step 3: Cross multiply
    3,184.68x = 4,765.73 × 2,349.76
  4. Step 4: Simplify right side
    3,184.68x = 11,198,321.72
  5. Step 5: Solve for x
    x = 11,198,321.72/3,184.68
  6. Step 6: Final answer
    x = 3,516.31

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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.