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Finding the Fourth Proportional to 4,689.88, 6,471.60 and 2,593.96

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Solution

The fourth proportional to 4,689.88, 6,471.60 and 2,593.96 is: 3,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.88 : 6,471.60 = 2,593.96 : x
  2. Step 2: Convert to fraction form
    4,689.88/6,471.60 = 2,593.96/x
  3. Step 3: Cross multiply
    4,689.88x = 6,471.60 × 2,593.96
  4. Step 4: Simplify right side
    4,689.88x = 16,787,071.54
  5. Step 5: Solve for x
    x = 16,787,071.54/4,689.88
  6. Step 6: Final answer
    x = 3,579.42

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