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Finding the Fourth Proportional to 3,505.27, 5,259.32 and 3,449.99

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Solution

The fourth proportional to 3,505.27, 5,259.32 and 3,449.99 is: 5,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.27 : 5,259.32 = 3,449.99 : x
  2. Step 2: Convert to fraction form
    3,505.27/5,259.32 = 3,449.99/x
  3. Step 3: Cross multiply
    3,505.27x = 5,259.32 × 3,449.99
  4. Step 4: Simplify right side
    3,505.27x = 18,144,601.41
  5. Step 5: Solve for x
    x = 18,144,601.41/3,505.27
  6. Step 6: Final answer
    x = 5,176.38

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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.