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Finding the Fourth Proportional to 5,649.57, 7,799.09 and 3,764.30

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Solution

The fourth proportional to 5,649.57, 7,799.09 and 3,764.30 is: 5,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.57 : 7,799.09 = 3,764.30 : x
  2. Step 2: Convert to fraction form
    5,649.57/7,799.09 = 3,764.30/x
  3. Step 3: Cross multiply
    5,649.57x = 7,799.09 × 3,764.30
  4. Step 4: Simplify right side
    5,649.57x = 29,358,056.67
  5. Step 5: Solve for x
    x = 29,358,056.67/5,649.57
  6. Step 6: Final answer
    x = 5,196.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.