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Finding the Fourth Proportional to 5,497.92, 8,248.50 and 3,309.30

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Solution

The fourth proportional to 5,497.92, 8,248.50 and 3,309.30 is: 4,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.92 : 8,248.50 = 3,309.30 : x
  2. Step 2: Convert to fraction form
    5,497.92/8,248.50 = 3,309.30/x
  3. Step 3: Cross multiply
    5,497.92x = 8,248.50 × 3,309.30
  4. Step 4: Simplify right side
    5,497.92x = 27,296,761.05
  5. Step 5: Solve for x
    x = 27,296,761.05/5,497.92
  6. Step 6: Final answer
    x = 4,964.93

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1.5x scale

Why These Related Problems?

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