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Finding the Fourth Proportional to 3,832.44, 5,774.27 and 3,462.67

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Solution

The fourth proportional to 3,832.44, 5,774.27 and 3,462.67 is: 5,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.44 : 5,774.27 = 3,462.67 : x
  2. Step 2: Convert to fraction form
    3,832.44/5,774.27 = 3,462.67/x
  3. Step 3: Cross multiply
    3,832.44x = 5,774.27 × 3,462.67
  4. Step 4: Simplify right side
    3,832.44x = 19,994,389.71
  5. Step 5: Solve for x
    x = 19,994,389.71/3,832.44
  6. Step 6: Final answer
    x = 5,217.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.