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Finding the Fourth Proportional to 3,364.34, 5,038.67 and 3,247.56

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Solution

The fourth proportional to 3,364.34, 5,038.67 and 3,247.56 is: 4,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.34 : 5,038.67 = 3,247.56 : x
  2. Step 2: Convert to fraction form
    3,364.34/5,038.67 = 3,247.56/x
  3. Step 3: Cross multiply
    3,364.34x = 5,038.67 × 3,247.56
  4. Step 4: Simplify right side
    3,364.34x = 16,363,391.26
  5. Step 5: Solve for x
    x = 16,363,391.26/3,364.34
  6. Step 6: Final answer
    x = 4,863.78

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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.