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Finding the Fourth Proportional to 5,796.38, 8,699.13 and 2,102.18

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Solution

The fourth proportional to 5,796.38, 8,699.13 and 2,102.18 is: 3,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.38 : 8,699.13 = 2,102.18 : x
  2. Step 2: Convert to fraction form
    5,796.38/8,699.13 = 2,102.18/x
  3. Step 3: Cross multiply
    5,796.38x = 8,699.13 × 2,102.18
  4. Step 4: Simplify right side
    5,796.38x = 18,287,093.61
  5. Step 5: Solve for x
    x = 18,287,093.61/5,796.38
  6. Step 6: Final answer
    x = 3,154.91

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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.