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Finding the Fourth Proportional to 3,520.53, 4,864.75 and 3,349.73

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Solution

The fourth proportional to 3,520.53, 4,864.75 and 3,349.73 is: 4,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.53 : 4,864.75 = 3,349.73 : x
  2. Step 2: Convert to fraction form
    3,520.53/4,864.75 = 3,349.73/x
  3. Step 3: Cross multiply
    3,520.53x = 4,864.75 × 3,349.73
  4. Step 4: Simplify right side
    3,520.53x = 16,295,599.02
  5. Step 5: Solve for x
    x = 16,295,599.02/3,520.53
  6. Step 6: Final answer
    x = 4,628.73

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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.