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Finding the Fourth Proportional to 4,627.88, 6,944.24 and 2,436.80

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Solution

The fourth proportional to 4,627.88, 6,944.24 and 2,436.80 is: 3,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.88 : 6,944.24 = 2,436.80 : x
  2. Step 2: Convert to fraction form
    4,627.88/6,944.24 = 2,436.80/x
  3. Step 3: Cross multiply
    4,627.88x = 6,944.24 × 2,436.80
  4. Step 4: Simplify right side
    4,627.88x = 16,921,724.03
  5. Step 5: Solve for x
    x = 16,921,724.03/4,627.88
  6. Step 6: Final answer
    x = 3,656.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.