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Finding the Fourth Proportional to 3,677.81, 5,516.30 and 1,596.71

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Solution

The fourth proportional to 3,677.81, 5,516.30 and 1,596.71 is: 2,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.81 : 5,516.30 = 1,596.71 : x
  2. Step 2: Convert to fraction form
    3,677.81/5,516.30 = 1,596.71/x
  3. Step 3: Cross multiply
    3,677.81x = 5,516.30 × 1,596.71
  4. Step 4: Simplify right side
    3,677.81x = 8,807,949.16
  5. Step 5: Solve for x
    x = 8,807,949.16/3,677.81
  6. Step 6: Final answer
    x = 2,394.89

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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.