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Finding the Fourth Proportional to 5,347.06, 8,021.97 and 1,649.21

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Solution

The fourth proportional to 5,347.06, 8,021.97 and 1,649.21 is: 2,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.06 : 8,021.97 = 1,649.21 : x
  2. Step 2: Convert to fraction form
    5,347.06/8,021.97 = 1,649.21/x
  3. Step 3: Cross multiply
    5,347.06x = 8,021.97 × 1,649.21
  4. Step 4: Simplify right side
    5,347.06x = 13,229,873.03
  5. Step 5: Solve for x
    x = 13,229,873.03/5,347.06
  6. Step 6: Final answer
    x = 2,474.23

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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.