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Finding the Fourth Proportional to 3,476.16, 4,796.96 and 2,079.68

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Solution

The fourth proportional to 3,476.16, 4,796.96 and 2,079.68 is: 2,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.16 : 4,796.96 = 2,079.68 : x
  2. Step 2: Convert to fraction form
    3,476.16/4,796.96 = 2,079.68/x
  3. Step 3: Cross multiply
    3,476.16x = 4,796.96 × 2,079.68
  4. Step 4: Simplify right side
    3,476.16x = 9,976,141.77
  5. Step 5: Solve for x
    x = 9,976,141.77/3,476.16
  6. Step 6: Final answer
    x = 2,869.87

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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.