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Finding the Fourth Proportional to 5,149.37, 7,724.59 and 1,401.23

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Solution

The fourth proportional to 5,149.37, 7,724.59 and 1,401.23 is: 2,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.37 : 7,724.59 = 1,401.23 : x
  2. Step 2: Convert to fraction form
    5,149.37/7,724.59 = 1,401.23/x
  3. Step 3: Cross multiply
    5,149.37x = 7,724.59 × 1,401.23
  4. Step 4: Simplify right side
    5,149.37x = 10,823,943.05
  5. Step 5: Solve for x
    x = 10,823,943.05/5,149.37
  6. Step 6: Final answer
    x = 2,101.99

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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.