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Finding the Fourth Proportional to 3,411.50, 5,117.34 and 1,359.50

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Solution

The fourth proportional to 3,411.50, 5,117.34 and 1,359.50 is: 2,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.50 : 5,117.34 = 1,359.50 : x
  2. Step 2: Convert to fraction form
    3,411.50/5,117.34 = 1,359.50/x
  3. Step 3: Cross multiply
    3,411.50x = 5,117.34 × 1,359.50
  4. Step 4: Simplify right side
    3,411.50x = 6,957,023.73
  5. Step 5: Solve for x
    x = 6,957,023.73/3,411.50
  6. Step 6: Final answer
    x = 2,039.29

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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.