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Finding the Fourth Proportional to 5,837.67, 8,743.63 and 4,825.51

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Solution

The fourth proportional to 5,837.67, 8,743.63 and 4,825.51 is: 7,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.67 : 8,743.63 = 4,825.51 : x
  2. Step 2: Convert to fraction form
    5,837.67/8,743.63 = 4,825.51/x
  3. Step 3: Cross multiply
    5,837.67x = 8,743.63 × 4,825.51
  4. Step 4: Simplify right side
    5,837.67x = 42,192,474.00
  5. Step 5: Solve for x
    x = 42,192,474.00/5,837.67
  6. Step 6: Final answer
    x = 7,227.62

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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.