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Finding the Fourth Proportional to 5,005.71, 6,906.48 and 2,881.14

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Solution

The fourth proportional to 5,005.71, 6,906.48 and 2,881.14 is: 3,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.71 : 6,906.48 = 2,881.14 : x
  2. Step 2: Convert to fraction form
    5,005.71/6,906.48 = 2,881.14/x
  3. Step 3: Cross multiply
    5,005.71x = 6,906.48 × 2,881.14
  4. Step 4: Simplify right side
    5,005.71x = 19,898,535.79
  5. Step 5: Solve for x
    x = 19,898,535.79/5,005.71
  6. Step 6: Final answer
    x = 3,975.17

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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.