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Finding the Fourth Proportional to 5,005.97, 6,908.50 and 2,881.82

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Solution

The fourth proportional to 5,005.97, 6,908.50 and 2,881.82 is: 3,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.97 : 6,908.50 = 2,881.82 : x
  2. Step 2: Convert to fraction form
    5,005.97/6,908.50 = 2,881.82/x
  3. Step 3: Cross multiply
    5,005.97x = 6,908.50 × 2,881.82
  4. Step 4: Simplify right side
    5,005.97x = 19,909,053.47
  5. Step 5: Solve for x
    x = 19,909,053.47/5,005.97
  6. Step 6: Final answer
    x = 3,977.06

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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.