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Finding the Fourth Proportional to 3,376.84, 5,066.82 and 1,296.14

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Solution

The fourth proportional to 3,376.84, 5,066.82 and 1,296.14 is: 1,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.84 : 5,066.82 = 1,296.14 : x
  2. Step 2: Convert to fraction form
    3,376.84/5,066.82 = 1,296.14/x
  3. Step 3: Cross multiply
    3,376.84x = 5,066.82 × 1,296.14
  4. Step 4: Simplify right side
    3,376.84x = 6,567,308.07
  5. Step 5: Solve for x
    x = 6,567,308.07/3,376.84
  6. Step 6: Final answer
    x = 1,944.81

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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.