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Finding the Fourth Proportional to 3,934.81, 5,902.23 and 1,161.52

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Solution

The fourth proportional to 3,934.81, 5,902.23 and 1,161.52 is: 1,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.81 : 5,902.23 = 1,161.52 : x
  2. Step 2: Convert to fraction form
    3,934.81/5,902.23 = 1,161.52/x
  3. Step 3: Cross multiply
    3,934.81x = 5,902.23 × 1,161.52
  4. Step 4: Simplify right side
    3,934.81x = 6,855,558.19
  5. Step 5: Solve for x
    x = 6,855,558.19/3,934.81
  6. Step 6: Final answer
    x = 1,742.28

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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.