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Finding the Fourth Proportional to 3,418.59, 5,137.50 and 2,032.17

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Solution

The fourth proportional to 3,418.59, 5,137.50 and 2,032.17 is: 3,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.59 : 5,137.50 = 2,032.17 : x
  2. Step 2: Convert to fraction form
    3,418.59/5,137.50 = 2,032.17/x
  3. Step 3: Cross multiply
    3,418.59x = 5,137.50 × 2,032.17
  4. Step 4: Simplify right side
    3,418.59x = 10,440,273.38
  5. Step 5: Solve for x
    x = 10,440,273.38/3,418.59
  6. Step 6: Final answer
    x = 3,053.97

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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.