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Finding the Fourth Proportional to 5,472.26, 8,208.51 and 1,774.49

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Solution

The fourth proportional to 5,472.26, 8,208.51 and 1,774.49 is: 2,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.26 : 8,208.51 = 1,774.49 : x
  2. Step 2: Convert to fraction form
    5,472.26/8,208.51 = 1,774.49/x
  3. Step 3: Cross multiply
    5,472.26x = 8,208.51 × 1,774.49
  4. Step 4: Simplify right side
    5,472.26x = 14,565,939.43
  5. Step 5: Solve for x
    x = 14,565,939.43/5,472.26
  6. Step 6: Final answer
    x = 2,661.78

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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.