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Finding the Fourth Proportional to 5,264.50, 7,898.15 and 2,342.17

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Solution

The fourth proportional to 5,264.50, 7,898.15 and 2,342.17 is: 3,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.50 : 7,898.15 = 2,342.17 : x
  2. Step 2: Convert to fraction form
    5,264.50/7,898.15 = 2,342.17/x
  3. Step 3: Cross multiply
    5,264.50x = 7,898.15 × 2,342.17
  4. Step 4: Simplify right side
    5,264.50x = 18,498,809.99
  5. Step 5: Solve for x
    x = 18,498,809.99/5,264.50
  6. Step 6: Final answer
    x = 3,513.88

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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.