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Finding the Fourth Proportional to 5,837.73, 8,052 and 5,644.89

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Solution

The fourth proportional to 5,837.73, 8,052 and 5,644.89 is: 7,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.73 : 8,052 = 5,644.89 : x
  2. Step 2: Convert to fraction form
    5,837.73/8,052 = 5,644.89/x
  3. Step 3: Cross multiply
    5,837.73x = 8,052 × 5,644.89
  4. Step 4: Simplify right side
    5,837.73x = 45,452,654.28
  5. Step 5: Solve for x
    x = 45,452,654.28/5,837.73
  6. Step 6: Final answer
    x = 7,786.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.