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Finding the Fourth Proportional to 4,209.50, 5,809.11 and 2,346.50

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Solution

The fourth proportional to 4,209.50, 5,809.11 and 2,346.50 is: 3,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.50 : 5,809.11 = 2,346.50 : x
  2. Step 2: Convert to fraction form
    4,209.50/5,809.11 = 2,346.50/x
  3. Step 3: Cross multiply
    4,209.50x = 5,809.11 × 2,346.50
  4. Step 4: Simplify right side
    4,209.50x = 13,631,076.62
  5. Step 5: Solve for x
    x = 13,631,076.62/4,209.50
  6. Step 6: Final answer
    x = 3,238.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.