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Finding the Fourth Proportional to 5,731, 8,596.76 and 1,835.44

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Solution

The fourth proportional to 5,731, 8,596.76 and 1,835.44 is: 2,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 8,596.76 = 1,835.44 : x
  2. Step 2: Convert to fraction form
    5,731/8,596.76 = 1,835.44/x
  3. Step 3: Cross multiply
    5,731x = 8,596.76 × 1,835.44
  4. Step 4: Simplify right side
    5,731x = 15,778,837.17
  5. Step 5: Solve for x
    x = 15,778,837.17/5,731
  6. Step 6: Final answer
    x = 2,753.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.