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Finding the Fourth Proportional to 5,608.72, 8,412.45 and 1,448.56

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Solution

The fourth proportional to 5,608.72, 8,412.45 and 1,448.56 is: 2,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.72 : 8,412.45 = 1,448.56 : x
  2. Step 2: Convert to fraction form
    5,608.72/8,412.45 = 1,448.56/x
  3. Step 3: Cross multiply
    5,608.72x = 8,412.45 × 1,448.56
  4. Step 4: Simplify right side
    5,608.72x = 12,185,938.57
  5. Step 5: Solve for x
    x = 12,185,938.57/5,608.72
  6. Step 6: Final answer
    x = 2,172.68

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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.