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Finding the Fourth Proportional to 5,837.66, 8,754.89 and 1,676.55

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Solution

The fourth proportional to 5,837.66, 8,754.89 and 1,676.55 is: 2,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.66 : 8,754.89 = 1,676.55 : x
  2. Step 2: Convert to fraction form
    5,837.66/8,754.89 = 1,676.55/x
  3. Step 3: Cross multiply
    5,837.66x = 8,754.89 × 1,676.55
  4. Step 4: Simplify right side
    5,837.66x = 14,678,010.83
  5. Step 5: Solve for x
    x = 14,678,010.83/5,837.66
  6. Step 6: Final answer
    x = 2,514.37

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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.