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Finding the Fourth Proportional to 3,612.16, 5,412.48 and 3,485.44

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Solution

The fourth proportional to 3,612.16, 5,412.48 and 3,485.44 is: 5,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.16 : 5,412.48 = 3,485.44 : x
  2. Step 2: Convert to fraction form
    3,612.16/5,412.48 = 3,485.44/x
  3. Step 3: Cross multiply
    3,612.16x = 5,412.48 × 3,485.44
  4. Step 4: Simplify right side
    3,612.16x = 18,864,874.29
  5. Step 5: Solve for x
    x = 18,864,874.29/3,612.16
  6. Step 6: Final answer
    x = 5,222.60

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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.