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Finding the Fourth Proportional to 5,649.76, 8,476.80 and 2,727.82

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Solution

The fourth proportional to 5,649.76, 8,476.80 and 2,727.82 is: 4,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.76 : 8,476.80 = 2,727.82 : x
  2. Step 2: Convert to fraction form
    5,649.76/8,476.80 = 2,727.82/x
  3. Step 3: Cross multiply
    5,649.76x = 8,476.80 × 2,727.82
  4. Step 4: Simplify right side
    5,649.76x = 23,123,184.58
  5. Step 5: Solve for x
    x = 23,123,184.58/5,649.76
  6. Step 6: Final answer
    x = 4,092.77

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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.