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Finding the Fourth Proportional to 3,699.74, 5,105.49 and 2,188.28

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Solution

The fourth proportional to 3,699.74, 5,105.49 and 2,188.28 is: 3,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.74 : 5,105.49 = 2,188.28 : x
  2. Step 2: Convert to fraction form
    3,699.74/5,105.49 = 2,188.28/x
  3. Step 3: Cross multiply
    3,699.74x = 5,105.49 × 2,188.28
  4. Step 4: Simplify right side
    3,699.74x = 11,172,230.83
  5. Step 5: Solve for x
    x = 11,172,230.83/3,699.74
  6. Step 6: Final answer
    x = 3,019.74

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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.