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Finding the Fourth Proportional to 5,227.93, 7,837.03 and 1,762.75

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Solution

The fourth proportional to 5,227.93, 7,837.03 and 1,762.75 is: 2,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.93 : 7,837.03 = 1,762.75 : x
  2. Step 2: Convert to fraction form
    5,227.93/7,837.03 = 1,762.75/x
  3. Step 3: Cross multiply
    5,227.93x = 7,837.03 × 1,762.75
  4. Step 4: Simplify right side
    5,227.93x = 13,814,724.63
  5. Step 5: Solve for x
    x = 13,814,724.63/5,227.93
  6. Step 6: Final answer
    x = 2,642.48

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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.