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Finding the Fourth Proportional to 3,475.99, 4,796.79 and 1,983.77

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Solution

The fourth proportional to 3,475.99, 4,796.79 and 1,983.77 is: 2,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.99 : 4,796.79 = 1,983.77 : x
  2. Step 2: Convert to fraction form
    3,475.99/4,796.79 = 1,983.77/x
  3. Step 3: Cross multiply
    3,475.99x = 4,796.79 × 1,983.77
  4. Step 4: Simplify right side
    3,475.99x = 9,515,714.66
  5. Step 5: Solve for x
    x = 9,515,714.66/3,475.99
  6. Step 6: Final answer
    x = 2,737.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.