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Finding the Fourth Proportional to 4,983.06, 6,872.64 and 3,214.82

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Solution

The fourth proportional to 4,983.06, 6,872.64 and 3,214.82 is: 4,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.06 : 6,872.64 = 3,214.82 : x
  2. Step 2: Convert to fraction form
    4,983.06/6,872.64 = 3,214.82/x
  3. Step 3: Cross multiply
    4,983.06x = 6,872.64 × 3,214.82
  4. Step 4: Simplify right side
    4,983.06x = 22,094,300.52
  5. Step 5: Solve for x
    x = 22,094,300.52/4,983.06
  6. Step 6: Final answer
    x = 4,433.88

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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.