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Finding the Fourth Proportional to 5,540.60, 7,643.60 and 3,649.76

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Solution

The fourth proportional to 5,540.60, 7,643.60 and 3,649.76 is: 5,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.60 : 7,643.60 = 3,649.76 : x
  2. Step 2: Convert to fraction form
    5,540.60/7,643.60 = 3,649.76/x
  3. Step 3: Cross multiply
    5,540.60x = 7,643.60 × 3,649.76
  4. Step 4: Simplify right side
    5,540.60x = 27,897,305.54
  5. Step 5: Solve for x
    x = 27,897,305.54/5,540.60
  6. Step 6: Final answer
    x = 5,035.07

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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.