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Finding the Fourth Proportional to 5,233.93, 7,850.27 and 1,723.07

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Solution

The fourth proportional to 5,233.93, 7,850.27 and 1,723.07 is: 2,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.93 : 7,850.27 = 1,723.07 : x
  2. Step 2: Convert to fraction form
    5,233.93/7,850.27 = 1,723.07/x
  3. Step 3: Cross multiply
    5,233.93x = 7,850.27 × 1,723.07
  4. Step 4: Simplify right side
    5,233.93x = 13,526,588.66
  5. Step 5: Solve for x
    x = 13,526,588.66/5,233.93
  6. Step 6: Final answer
    x = 2,584.41

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1.5x scale

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.