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Finding the Fourth Proportional to 4,933.76, 6,808.64 and 2,839.08

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Solution

The fourth proportional to 4,933.76, 6,808.64 and 2,839.08 is: 3,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.76 : 6,808.64 = 2,839.08 : x
  2. Step 2: Convert to fraction form
    4,933.76/6,808.64 = 2,839.08/x
  3. Step 3: Cross multiply
    4,933.76x = 6,808.64 × 2,839.08
  4. Step 4: Simplify right side
    4,933.76x = 19,330,273.65
  5. Step 5: Solve for x
    x = 19,330,273.65/4,933.76
  6. Step 6: Final answer
    x = 3,917.96

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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.