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Finding the Fourth Proportional to 5,420.70, 7,486.73 and 3,649.23

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Solution

The fourth proportional to 5,420.70, 7,486.73 and 3,649.23 is: 5,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.70 : 7,486.73 = 3,649.23 : x
  2. Step 2: Convert to fraction form
    5,420.70/7,486.73 = 3,649.23/x
  3. Step 3: Cross multiply
    5,420.70x = 7,486.73 × 3,649.23
  4. Step 4: Simplify right side
    5,420.70x = 27,320,799.72
  5. Step 5: Solve for x
    x = 27,320,799.72/5,420.70
  6. Step 6: Final answer
    x = 5,040.09

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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.