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Finding the Fourth Proportional to 5,697, 8,549.55 and 2,234.25

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Solution

The fourth proportional to 5,697, 8,549.55 and 2,234.25 is: 3,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 8,549.55 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    5,697/8,549.55 = 2,234.25/x
  3. Step 3: Cross multiply
    5,697x = 8,549.55 × 2,234.25
  4. Step 4: Simplify right side
    5,697x = 19,101,832.09
  5. Step 5: Solve for x
    x = 19,101,832.09/5,697
  6. Step 6: Final answer
    x = 3,352.96

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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.