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Finding the Fourth Proportional to 3,682.48, 5,518.20 and 3,152.22

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Solution

The fourth proportional to 3,682.48, 5,518.20 and 3,152.22 is: 4,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.48 : 5,518.20 = 3,152.22 : x
  2. Step 2: Convert to fraction form
    3,682.48/5,518.20 = 3,152.22/x
  3. Step 3: Cross multiply
    3,682.48x = 5,518.20 × 3,152.22
  4. Step 4: Simplify right side
    3,682.48x = 17,394,580.40
  5. Step 5: Solve for x
    x = 17,394,580.40/3,682.48
  6. Step 6: Final answer
    x = 4,723.60

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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.