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Finding the Fourth Proportional to 3,670.67, 5,492.33 and 2,190.69

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Solution

The fourth proportional to 3,670.67, 5,492.33 and 2,190.69 is: 3,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.67 : 5,492.33 = 2,190.69 : x
  2. Step 2: Convert to fraction form
    3,670.67/5,492.33 = 2,190.69/x
  3. Step 3: Cross multiply
    3,670.67x = 5,492.33 × 2,190.69
  4. Step 4: Simplify right side
    3,670.67x = 12,031,992.41
  5. Step 5: Solve for x
    x = 12,031,992.41/3,670.67
  6. Step 6: Final answer
    x = 3,277.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.