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Finding the Fourth Proportional to 5,608.44, 7,728.01 and 4,187.50

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Solution

The fourth proportional to 5,608.44, 7,728.01 and 4,187.50 is: 5,770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.44 : 7,728.01 = 4,187.50 : x
  2. Step 2: Convert to fraction form
    5,608.44/7,728.01 = 4,187.50/x
  3. Step 3: Cross multiply
    5,608.44x = 7,728.01 × 4,187.50
  4. Step 4: Simplify right side
    5,608.44x = 32,361,012.09
  5. Step 5: Solve for x
    x = 32,361,012.09/5,608.44
  6. Step 6: Final answer
    x = 5,770.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.