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Finding the Fourth Proportional to 5,000.75, 7,502.43 and 1,713.83

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Solution

The fourth proportional to 5,000.75, 7,502.43 and 1,713.83 is: 2,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.75 : 7,502.43 = 1,713.83 : x
  2. Step 2: Convert to fraction form
    5,000.75/7,502.43 = 1,713.83/x
  3. Step 3: Cross multiply
    5,000.75x = 7,502.43 × 1,713.83
  4. Step 4: Simplify right side
    5,000.75x = 12,857,889.61
  5. Step 5: Solve for x
    x = 12,857,889.61/5,000.75
  6. Step 6: Final answer
    x = 2,571.19

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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.