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Finding the Fourth Proportional to 5,408.09, 8,109.30 and 2,443.98

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Solution

The fourth proportional to 5,408.09, 8,109.30 and 2,443.98 is: 3,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.09 : 8,109.30 = 2,443.98 : x
  2. Step 2: Convert to fraction form
    5,408.09/8,109.30 = 2,443.98/x
  3. Step 3: Cross multiply
    5,408.09x = 8,109.30 × 2,443.98
  4. Step 4: Simplify right side
    5,408.09x = 19,818,967.01
  5. Step 5: Solve for x
    x = 19,818,967.01/5,408.09
  6. Step 6: Final answer
    x = 3,664.69

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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.