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Finding the Fourth Proportional to 3,342.09, 5,006.74 and 2,026.25

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Solution

The fourth proportional to 3,342.09, 5,006.74 and 2,026.25 is: 3,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.09 : 5,006.74 = 2,026.25 : x
  2. Step 2: Convert to fraction form
    3,342.09/5,006.74 = 2,026.25/x
  3. Step 3: Cross multiply
    3,342.09x = 5,006.74 × 2,026.25
  4. Step 4: Simplify right side
    3,342.09x = 10,144,906.93
  5. Step 5: Solve for x
    x = 10,144,906.93/3,342.09
  6. Step 6: Final answer
    x = 3,035.50

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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.