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Finding the Fourth Proportional to 3,475.82, 4,796.62 and 1,983.65

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Solution

The fourth proportional to 3,475.82, 4,796.62 and 1,983.65 is: 2,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.82 : 4,796.62 = 1,983.65 : x
  2. Step 2: Convert to fraction form
    3,475.82/4,796.62 = 1,983.65/x
  3. Step 3: Cross multiply
    3,475.82x = 4,796.62 × 1,983.65
  4. Step 4: Simplify right side
    3,475.82x = 9,514,786.32
  5. Step 5: Solve for x
    x = 9,514,786.32/3,475.82
  6. Step 6: Final answer
    x = 2,737.42

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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.