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Finding the Fourth Proportional to 5,046.71, 6,964.52 and 2,808.61

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Solution

The fourth proportional to 5,046.71, 6,964.52 and 2,808.61 is: 3,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.71 : 6,964.52 = 2,808.61 : x
  2. Step 2: Convert to fraction form
    5,046.71/6,964.52 = 2,808.61/x
  3. Step 3: Cross multiply
    5,046.71x = 6,964.52 × 2,808.61
  4. Step 4: Simplify right side
    5,046.71x = 19,560,589.06
  5. Step 5: Solve for x
    x = 19,560,589.06/5,046.71
  6. Step 6: Final answer
    x = 3,875.91

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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.