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Finding the Fourth Proportional to 4,767.91, 6,579.54 and 2,643.53

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Solution

The fourth proportional to 4,767.91, 6,579.54 and 2,643.53 is: 3,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.91 : 6,579.54 = 2,643.53 : x
  2. Step 2: Convert to fraction form
    4,767.91/6,579.54 = 2,643.53/x
  3. Step 3: Cross multiply
    4,767.91x = 6,579.54 × 2,643.53
  4. Step 4: Simplify right side
    4,767.91x = 17,393,211.38
  5. Step 5: Solve for x
    x = 17,393,211.38/4,767.91
  6. Step 6: Final answer
    x = 3,647.97

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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.