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Finding the Fourth Proportional to 3,435.41, 4,738.50 and 2,108.94

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Solution

The fourth proportional to 3,435.41, 4,738.50 and 2,108.94 is: 2,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.41 : 4,738.50 = 2,108.94 : x
  2. Step 2: Convert to fraction form
    3,435.41/4,738.50 = 2,108.94/x
  3. Step 3: Cross multiply
    3,435.41x = 4,738.50 × 2,108.94
  4. Step 4: Simplify right side
    3,435.41x = 9,993,194.42
  5. Step 5: Solve for x
    x = 9,993,194.42/3,435.41
  6. Step 6: Final answer
    x = 2,908.88

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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.