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Finding the Fourth Proportional to 5,564.50, 8,346.75 and 2,486.50

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Solution

The fourth proportional to 5,564.50, 8,346.75 and 2,486.50 is: 3,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.50 : 8,346.75 = 2,486.50 : x
  2. Step 2: Convert to fraction form
    5,564.50/8,346.75 = 2,486.50/x
  3. Step 3: Cross multiply
    5,564.50x = 8,346.75 × 2,486.50
  4. Step 4: Simplify right side
    5,564.50x = 20,754,193.88
  5. Step 5: Solve for x
    x = 20,754,193.88/5,564.50
  6. Step 6: Final answer
    x = 3,729.75

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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.