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Finding the Fourth Proportional to 5,099.70, 7,648.67 and 1,401.05

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Solution

The fourth proportional to 5,099.70, 7,648.67 and 1,401.05 is: 2,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.70 : 7,648.67 = 1,401.05 : x
  2. Step 2: Convert to fraction form
    5,099.70/7,648.67 = 1,401.05/x
  3. Step 3: Cross multiply
    5,099.70x = 7,648.67 × 1,401.05
  4. Step 4: Simplify right side
    5,099.70x = 10,716,162.10
  5. Step 5: Solve for x
    x = 10,716,162.10/5,099.70
  6. Step 6: Final answer
    x = 2,101.33

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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.