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Finding the Fourth Proportional to 3,732.99, 5,604.41 and 2,174.43

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Solution

The fourth proportional to 3,732.99, 5,604.41 and 2,174.43 is: 3,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.99 : 5,604.41 = 2,174.43 : x
  2. Step 2: Convert to fraction form
    3,732.99/5,604.41 = 2,174.43/x
  3. Step 3: Cross multiply
    3,732.99x = 5,604.41 × 2,174.43
  4. Step 4: Simplify right side
    3,732.99x = 12,186,386.36
  5. Step 5: Solve for x
    x = 12,186,386.36/3,732.99
  6. Step 6: Final answer
    x = 3,264.51

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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.