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Finding the Fourth Proportional to 4,502.50, 6,761.22 and 2,782.06

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Solution

The fourth proportional to 4,502.50, 6,761.22 and 2,782.06 is: 4,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.50 : 6,761.22 = 2,782.06 : x
  2. Step 2: Convert to fraction form
    4,502.50/6,761.22 = 2,782.06/x
  3. Step 3: Cross multiply
    4,502.50x = 6,761.22 × 2,782.06
  4. Step 4: Simplify right side
    4,502.50x = 18,810,119.71
  5. Step 5: Solve for x
    x = 18,810,119.71/4,502.50
  6. Step 6: Final answer
    x = 4,177.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.