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Finding the Fourth Proportional to 3,474.36, 4,796.28 and 2,148.66

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Solution

The fourth proportional to 3,474.36, 4,796.28 and 2,148.66 is: 2,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.36 : 4,796.28 = 2,148.66 : x
  2. Step 2: Convert to fraction form
    3,474.36/4,796.28 = 2,148.66/x
  3. Step 3: Cross multiply
    3,474.36x = 4,796.28 × 2,148.66
  4. Step 4: Simplify right side
    3,474.36x = 10,305,574.98
  5. Step 5: Solve for x
    x = 10,305,574.98/3,474.36
  6. Step 6: Final answer
    x = 2,966.18

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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.