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Finding the Fourth Proportional to 5,794.66, 7,996.63 and 3,142.07

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Solution

The fourth proportional to 5,794.66, 7,996.63 and 3,142.07 is: 4,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.66 : 7,996.63 = 3,142.07 : x
  2. Step 2: Convert to fraction form
    5,794.66/7,996.63 = 3,142.07/x
  3. Step 3: Cross multiply
    5,794.66x = 7,996.63 × 3,142.07
  4. Step 4: Simplify right side
    5,794.66x = 25,125,971.22
  5. Step 5: Solve for x
    x = 25,125,971.22/5,794.66
  6. Step 6: Final answer
    x = 4,336.06

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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.