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Finding the Fourth Proportional to 5,060.64, 6,983.73 and 2,822.73

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Solution

The fourth proportional to 5,060.64, 6,983.73 and 2,822.73 is: 3,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.64 : 6,983.73 = 2,822.73 : x
  2. Step 2: Convert to fraction form
    5,060.64/6,983.73 = 2,822.73/x
  3. Step 3: Cross multiply
    5,060.64x = 6,983.73 × 2,822.73
  4. Step 4: Simplify right side
    5,060.64x = 19,713,184.18
  5. Step 5: Solve for x
    x = 19,713,184.18/5,060.64
  6. Step 6: Final answer
    x = 3,895.39

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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.