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Finding the Fourth Proportional to 3,249.69, 4,484.43 and 2,071.14

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Solution

The fourth proportional to 3,249.69, 4,484.43 and 2,071.14 is: 2,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.69 : 4,484.43 = 2,071.14 : x
  2. Step 2: Convert to fraction form
    3,249.69/4,484.43 = 2,071.14/x
  3. Step 3: Cross multiply
    3,249.69x = 4,484.43 × 2,071.14
  4. Step 4: Simplify right side
    3,249.69x = 9,287,882.35
  5. Step 5: Solve for x
    x = 9,287,882.35/3,249.69
  6. Step 6: Final answer
    x = 2,858.08

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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.