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Finding the Fourth Proportional to 3,184.62, 4,765.64 and 2,349.71

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Solution

The fourth proportional to 3,184.62, 4,765.64 and 2,349.71 is: 3,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.62 : 4,765.64 = 2,349.71 : x
  2. Step 2: Convert to fraction form
    3,184.62/4,765.64 = 2,349.71/x
  3. Step 3: Cross multiply
    3,184.62x = 4,765.64 × 2,349.71
  4. Step 4: Simplify right side
    3,184.62x = 11,197,871.96
  5. Step 5: Solve for x
    x = 11,197,871.96/3,184.62
  6. Step 6: Final answer
    x = 3,516.23

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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.