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Finding the Fourth Proportional to 5,795.34, 7,997.56 and 3,142.74

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Solution

The fourth proportional to 5,795.34, 7,997.56 and 3,142.74 is: 4,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.34 : 7,997.56 = 3,142.74 : x
  2. Step 2: Convert to fraction form
    5,795.34/7,997.56 = 3,142.74/x
  3. Step 3: Cross multiply
    5,795.34x = 7,997.56 × 3,142.74
  4. Step 4: Simplify right side
    5,795.34x = 25,134,302.15
  5. Step 5: Solve for x
    x = 25,134,302.15/5,795.34
  6. Step 6: Final answer
    x = 4,336.99

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