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Finding the Fourth Proportional to 6,533.92, 9,794.13 and 2,583.58

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Solution

The fourth proportional to 6,533.92, 9,794.13 and 2,583.58 is: 3,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.92 : 9,794.13 = 2,583.58 : x
  2. Step 2: Convert to fraction form
    6,533.92/9,794.13 = 2,583.58/x
  3. Step 3: Cross multiply
    6,533.92x = 9,794.13 × 2,583.58
  4. Step 4: Simplify right side
    6,533.92x = 25,303,918.39
  5. Step 5: Solve for x
    x = 25,303,918.39/6,533.92
  6. Step 6: Final answer
    x = 3,872.70

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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.