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Finding the Fourth Proportional to 3,677.68, 5,513.42 and 1,596.12

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Solution

The fourth proportional to 3,677.68, 5,513.42 and 1,596.12 is: 2,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.68 : 5,513.42 = 1,596.12 : x
  2. Step 2: Convert to fraction form
    3,677.68/5,513.42 = 1,596.12/x
  3. Step 3: Cross multiply
    3,677.68x = 5,513.42 × 1,596.12
  4. Step 4: Simplify right side
    3,677.68x = 8,800,071.95
  5. Step 5: Solve for x
    x = 8,800,071.95/3,677.68
  6. Step 6: Final answer
    x = 2,392.83

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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.