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Finding the Fourth Proportional to 5,046.96, 6,964.03 and 2,808.83

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Solution

The fourth proportional to 5,046.96, 6,964.03 and 2,808.83 is: 3,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.96 : 6,964.03 = 2,808.83 : x
  2. Step 2: Convert to fraction form
    5,046.96/6,964.03 = 2,808.83/x
  3. Step 3: Cross multiply
    5,046.96x = 6,964.03 × 2,808.83
  4. Step 4: Simplify right side
    5,046.96x = 19,560,742.33
  5. Step 5: Solve for x
    x = 19,560,742.33/5,046.96
  6. Step 6: Final answer
    x = 3,875.75

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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.