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Finding the Fourth Proportional to 3,693.62, 5,537.69 and 2,232.42

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Solution

The fourth proportional to 3,693.62, 5,537.69 and 2,232.42 is: 3,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.62 : 5,537.69 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    3,693.62/5,537.69 = 2,232.42/x
  3. Step 3: Cross multiply
    3,693.62x = 5,537.69 × 2,232.42
  4. Step 4: Simplify right side
    3,693.62x = 12,362,438.75
  5. Step 5: Solve for x
    x = 12,362,438.75/3,693.62
  6. Step 6: Final answer
    x = 3,346.98

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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.