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Finding the Fourth Proportional to 3,949.04, 5,922.52 and 1,174.96

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Solution

The fourth proportional to 3,949.04, 5,922.52 and 1,174.96 is: 1,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.04 : 5,922.52 = 1,174.96 : x
  2. Step 2: Convert to fraction form
    3,949.04/5,922.52 = 1,174.96/x
  3. Step 3: Cross multiply
    3,949.04x = 5,922.52 × 1,174.96
  4. Step 4: Simplify right side
    3,949.04x = 6,958,724.10
  5. Step 5: Solve for x
    x = 6,958,724.10/3,949.04
  6. Step 6: Final answer
    x = 1,762.13

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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.