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Finding the Fourth Proportional to 6,649.00, 9,977.36 and 2,491.92

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Solution

The fourth proportional to 6,649.00, 9,977.36 and 2,491.92 is: 3,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.00 : 9,977.36 = 2,491.92 : x
  2. Step 2: Convert to fraction form
    6,649.00/9,977.36 = 2,491.92/x
  3. Step 3: Cross multiply
    6,649.00x = 9,977.36 × 2,491.92
  4. Step 4: Simplify right side
    6,649.00x = 24,862,770.47
  5. Step 5: Solve for x
    x = 24,862,770.47/6,649.00
  6. Step 6: Final answer
    x = 3,739.33

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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.