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Finding the Fourth Proportional to 3,633.34, 5,449.29 and 1,035.67

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Solution

The fourth proportional to 3,633.34, 5,449.29 and 1,035.67 is: 1,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.34 : 5,449.29 = 1,035.67 : x
  2. Step 2: Convert to fraction form
    3,633.34/5,449.29 = 1,035.67/x
  3. Step 3: Cross multiply
    3,633.34x = 5,449.29 × 1,035.67
  4. Step 4: Simplify right side
    3,633.34x = 5,643,666.17
  5. Step 5: Solve for x
    x = 5,643,666.17/3,633.34
  6. Step 6: Final answer
    x = 1,553.30

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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.