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Finding the Fourth Proportional to 5,099.13, 7,647.22 and 1,401.48

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Solution

The fourth proportional to 5,099.13, 7,647.22 and 1,401.48 is: 2,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.13 : 7,647.22 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    5,099.13/7,647.22 = 1,401.48/x
  3. Step 3: Cross multiply
    5,099.13x = 7,647.22 × 1,401.48
  4. Step 4: Simplify right side
    5,099.13x = 10,717,408.52
  5. Step 5: Solve for x
    x = 10,717,408.52/5,099.13
  6. Step 6: Final answer
    x = 2,101.81

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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.