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Finding the Fourth Proportional to 3,502.50, 4,833.51 and 2,262.66

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Solution

The fourth proportional to 3,502.50, 4,833.51 and 2,262.66 is: 3,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.50 : 4,833.51 = 2,262.66 : x
  2. Step 2: Convert to fraction form
    3,502.50/4,833.51 = 2,262.66/x
  3. Step 3: Cross multiply
    3,502.50x = 4,833.51 × 2,262.66
  4. Step 4: Simplify right side
    3,502.50x = 10,936,589.74
  5. Step 5: Solve for x
    x = 10,936,589.74/3,502.50
  6. Step 6: Final answer
    x = 3,122.51

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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.