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Finding the Fourth Proportional to 5,071.82, 6,999.44 and 2,834

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Solution

The fourth proportional to 5,071.82, 6,999.44 and 2,834 is: 3,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.82 : 6,999.44 = 2,834 : x
  2. Step 2: Convert to fraction form
    5,071.82/6,999.44 = 2,834/x
  3. Step 3: Cross multiply
    5,071.82x = 6,999.44 × 2,834
  4. Step 4: Simplify right side
    5,071.82x = 19,836,398.79
  5. Step 5: Solve for x
    x = 19,836,398.79/5,071.82
  6. Step 6: Final answer
    x = 3,911.10

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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.