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Finding the Fourth Proportional to 5,497.68, 8,244 and 2,032.50

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Solution

The fourth proportional to 5,497.68, 8,244 and 2,032.50 is: 3,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.68 : 8,244 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    5,497.68/8,244 = 2,032.50/x
  3. Step 3: Cross multiply
    5,497.68x = 8,244 × 2,032.50
  4. Step 4: Simplify right side
    5,497.68x = 16,755,930
  5. Step 5: Solve for x
    x = 16,755,930/5,497.68
  6. Step 6: Final answer
    x = 3,047.82

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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.