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Finding the Fourth Proportional to 6,544.50, 9,819.90 and 3,257.88

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Solution

The fourth proportional to 6,544.50, 9,819.90 and 3,257.88 is: 4,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.50 : 9,819.90 = 3,257.88 : x
  2. Step 2: Convert to fraction form
    6,544.50/9,819.90 = 3,257.88/x
  3. Step 3: Cross multiply
    6,544.50x = 9,819.90 × 3,257.88
  4. Step 4: Simplify right side
    6,544.50x = 31,992,055.81
  5. Step 5: Solve for x
    x = 31,992,055.81/6,544.50
  6. Step 6: Final answer
    x = 4,888.39

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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.