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Finding the Fourth Proportional to 3,666.46, 5,500.19 and 1,069.38

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Solution

The fourth proportional to 3,666.46, 5,500.19 and 1,069.38 is: 1,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.46 : 5,500.19 = 1,069.38 : x
  2. Step 2: Convert to fraction form
    3,666.46/5,500.19 = 1,069.38/x
  3. Step 3: Cross multiply
    3,666.46x = 5,500.19 × 1,069.38
  4. Step 4: Simplify right side
    3,666.46x = 5,881,793.18
  5. Step 5: Solve for x
    x = 5,881,793.18/3,666.46
  6. Step 6: Final answer
    x = 1,604.22

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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.