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Finding the Fourth Proportional to 4,834.32, 6,669.72 and 2,844.24

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Solution

The fourth proportional to 4,834.32, 6,669.72 and 2,844.24 is: 3,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.32 : 6,669.72 = 2,844.24 : x
  2. Step 2: Convert to fraction form
    4,834.32/6,669.72 = 2,844.24/x
  3. Step 3: Cross multiply
    4,834.32x = 6,669.72 × 2,844.24
  4. Step 4: Simplify right side
    4,834.32x = 18,970,284.41
  5. Step 5: Solve for x
    x = 18,970,284.41/4,834.32
  6. Step 6: Final answer
    x = 3,924.09

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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.