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Finding the Fourth Proportional to 5,706, 8,558.72 and 2,197.68

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Solution

The fourth proportional to 5,706, 8,558.72 and 2,197.68 is: 3,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 8,558.72 = 2,197.68 : x
  2. Step 2: Convert to fraction form
    5,706/8,558.72 = 2,197.68/x
  3. Step 3: Cross multiply
    5,706x = 8,558.72 × 2,197.68
  4. Step 4: Simplify right side
    5,706x = 18,809,327.77
  5. Step 5: Solve for x
    x = 18,809,327.77/5,706
  6. Step 6: Final answer
    x = 3,296.41

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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.