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Finding the Fourth Proportional to 3,666.29, 5,500.34 and 1,069.23

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Solution

The fourth proportional to 3,666.29, 5,500.34 and 1,069.23 is: 1,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.29 : 5,500.34 = 1,069.23 : x
  2. Step 2: Convert to fraction form
    3,666.29/5,500.34 = 1,069.23/x
  3. Step 3: Cross multiply
    3,666.29x = 5,500.34 × 1,069.23
  4. Step 4: Simplify right side
    3,666.29x = 5,881,123.19
  5. Step 5: Solve for x
    x = 5,881,123.19/3,666.29
  6. Step 6: Final answer
    x = 1,604.11

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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.