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Finding the Fourth Proportional to 3,580.86, 5,372.42 and 1,608.18

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Solution

The fourth proportional to 3,580.86, 5,372.42 and 1,608.18 is: 2,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.86 : 5,372.42 = 1,608.18 : x
  2. Step 2: Convert to fraction form
    3,580.86/5,372.42 = 1,608.18/x
  3. Step 3: Cross multiply
    3,580.86x = 5,372.42 × 1,608.18
  4. Step 4: Simplify right side
    3,580.86x = 8,639,810.35
  5. Step 5: Solve for x
    x = 8,639,810.35/3,580.86
  6. Step 6: Final answer
    x = 2,412.78

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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.