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Finding the Fourth Proportional to 6,538.37, 9,807.47 and 1,608.05

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Solution

The fourth proportional to 6,538.37, 9,807.47 and 1,608.05 is: 2,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.37 : 9,807.47 = 1,608.05 : x
  2. Step 2: Convert to fraction form
    6,538.37/9,807.47 = 1,608.05/x
  3. Step 3: Cross multiply
    6,538.37x = 9,807.47 × 1,608.05
  4. Step 4: Simplify right side
    6,538.37x = 15,770,902.13
  5. Step 5: Solve for x
    x = 15,770,902.13/6,538.37
  6. Step 6: Final answer
    x = 2,412.05

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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.