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Finding the Fourth Proportional to 4,949.60, 6,833.68 and 3,828.56

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Solution

The fourth proportional to 4,949.60, 6,833.68 and 3,828.56 is: 5,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.60 : 6,833.68 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    4,949.60/6,833.68 = 3,828.56/x
  3. Step 3: Cross multiply
    4,949.60x = 6,833.68 × 3,828.56
  4. Step 4: Simplify right side
    4,949.60x = 26,163,153.90
  5. Step 5: Solve for x
    x = 26,163,153.90/4,949.60
  6. Step 6: Final answer
    x = 5,285.91

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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.