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Finding the Fourth Proportional to 4,838.96, 6,672.48 and 3,828.92

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Solution

The fourth proportional to 4,838.96, 6,672.48 and 3,828.92 is: 5,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.96 : 6,672.48 = 3,828.92 : x
  2. Step 2: Convert to fraction form
    4,838.96/6,672.48 = 3,828.92/x
  3. Step 3: Cross multiply
    4,838.96x = 6,672.48 × 3,828.92
  4. Step 4: Simplify right side
    4,838.96x = 25,548,392.12
  5. Step 5: Solve for x
    x = 25,548,392.12/4,838.96
  6. Step 6: Final answer
    x = 5,279.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.