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Finding the Fourth Proportional to 3,336.35, 5,004.53 and 871.17

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Solution

The fourth proportional to 3,336.35, 5,004.53 and 871.17 is: 1,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.35 : 5,004.53 = 871.17 : x
  2. Step 2: Convert to fraction form
    3,336.35/5,004.53 = 871.17/x
  3. Step 3: Cross multiply
    3,336.35x = 5,004.53 × 871.17
  4. Step 4: Simplify right side
    3,336.35x = 4,359,776.54
  5. Step 5: Solve for x
    x = 4,359,776.54/3,336.35
  6. Step 6: Final answer
    x = 1,306.75

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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.