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Finding the Fourth Proportional to 4,164.46, 6,248.32 and 3,824.26

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Solution

The fourth proportional to 4,164.46, 6,248.32 and 3,824.26 is: 5,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.46 : 6,248.32 = 3,824.26 : x
  2. Step 2: Convert to fraction form
    4,164.46/6,248.32 = 3,824.26/x
  3. Step 3: Cross multiply
    4,164.46x = 6,248.32 × 3,824.26
  4. Step 4: Simplify right side
    4,164.46x = 23,895,200.24
  5. Step 5: Solve for x
    x = 23,895,200.24/4,164.46
  6. Step 6: Final answer
    x = 5,737.89

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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.