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Finding the Fourth Proportional to 5,796.61, 7,996.67 and 3,437.89

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Solution

The fourth proportional to 5,796.61, 7,996.67 and 3,437.89 is: 4,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.61 : 7,996.67 = 3,437.89 : x
  2. Step 2: Convert to fraction form
    5,796.61/7,996.67 = 3,437.89/x
  3. Step 3: Cross multiply
    5,796.61x = 7,996.67 × 3,437.89
  4. Step 4: Simplify right side
    5,796.61x = 27,491,654.64
  5. Step 5: Solve for x
    x = 27,491,654.64/5,796.61
  6. Step 6: Final answer
    x = 4,742.71

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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.