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Finding the Fourth Proportional to 3,899.76, 5,378.10 and 3,049.13

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Solution

The fourth proportional to 3,899.76, 5,378.10 and 3,049.13 is: 4,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.76 : 5,378.10 = 3,049.13 : x
  2. Step 2: Convert to fraction form
    3,899.76/5,378.10 = 3,049.13/x
  3. Step 3: Cross multiply
    3,899.76x = 5,378.10 × 3,049.13
  4. Step 4: Simplify right side
    3,899.76x = 16,398,526.05
  5. Step 5: Solve for x
    x = 16,398,526.05/3,899.76
  6. Step 6: Final answer
    x = 4,205.01

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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.