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Finding the Fourth Proportional to 4,828.96, 6,664 and 2,732.96

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Solution

The fourth proportional to 4,828.96, 6,664 and 2,732.96 is: 3,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.96 : 6,664 = 2,732.96 : x
  2. Step 2: Convert to fraction form
    4,828.96/6,664 = 2,732.96/x
  3. Step 3: Cross multiply
    4,828.96x = 6,664 × 2,732.96
  4. Step 4: Simplify right side
    4,828.96x = 18,212,445.44
  5. Step 5: Solve for x
    x = 18,212,445.44/4,828.96
  6. Step 6: Final answer
    x = 3,771.50

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Why These Related Problems?

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