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Finding the Fourth Proportional to 3,850.98, 5,309.19 and 2,524.20

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Solution

The fourth proportional to 3,850.98, 5,309.19 and 2,524.20 is: 3,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.98 : 5,309.19 = 2,524.20 : x
  2. Step 2: Convert to fraction form
    3,850.98/5,309.19 = 2,524.20/x
  3. Step 3: Cross multiply
    3,850.98x = 5,309.19 × 2,524.20
  4. Step 4: Simplify right side
    3,850.98x = 13,401,457.40
  5. Step 5: Solve for x
    x = 13,401,457.40/3,850.98
  6. Step 6: Final answer
    x = 3,480.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.