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Finding the Fourth Proportional to 5,099.76, 7,648.76 and 1,401.37

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Solution

The fourth proportional to 5,099.76, 7,648.76 and 1,401.37 is: 2,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.76 : 7,648.76 = 1,401.37 : x
  2. Step 2: Convert to fraction form
    5,099.76/7,648.76 = 1,401.37/x
  3. Step 3: Cross multiply
    5,099.76x = 7,648.76 × 1,401.37
  4. Step 4: Simplify right side
    5,099.76x = 10,718,727.18
  5. Step 5: Solve for x
    x = 10,718,727.18/5,099.76
  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.