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Finding the Fourth Proportional to 5,795.83, 7,997.23 and 3,406.02

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Solution

The fourth proportional to 5,795.83, 7,997.23 and 3,406.02 is: 4,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.83 : 7,997.23 = 3,406.02 : x
  2. Step 2: Convert to fraction form
    5,795.83/7,997.23 = 3,406.02/x
  3. Step 3: Cross multiply
    5,795.83x = 7,997.23 × 3,406.02
  4. Step 4: Simplify right side
    5,795.83x = 27,238,767.07
  5. Step 5: Solve for x
    x = 27,238,767.07/5,795.83
  6. Step 6: Final answer
    x = 4,699.72

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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.