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Finding the Fourth Proportional to 4,689.64, 6,471.66 and 2,593.78

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Solution

The fourth proportional to 4,689.64, 6,471.66 and 2,593.78 is: 3,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.64 : 6,471.66 = 2,593.78 : x
  2. Step 2: Convert to fraction form
    4,689.64/6,471.66 = 2,593.78/x
  3. Step 3: Cross multiply
    4,689.64x = 6,471.66 × 2,593.78
  4. Step 4: Simplify right side
    4,689.64x = 16,786,062.27
  5. Step 5: Solve for x
    x = 16,786,062.27/4,689.64
  6. Step 6: Final answer
    x = 3,579.39

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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.