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Finding the Fourth Proportional to 5,295.82, 7,943.79 and 2,008.03

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Solution

The fourth proportional to 5,295.82, 7,943.79 and 2,008.03 is: 3,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.82 : 7,943.79 = 2,008.03 : x
  2. Step 2: Convert to fraction form
    5,295.82/7,943.79 = 2,008.03/x
  3. Step 3: Cross multiply
    5,295.82x = 7,943.79 × 2,008.03
  4. Step 4: Simplify right side
    5,295.82x = 15,951,368.63
  5. Step 5: Solve for x
    x = 15,951,368.63/5,295.82
  6. Step 6: Final answer
    x = 3,012.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.