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Finding the Fourth Proportional to 5,905.44, 8,158.32 and 4,769.42

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Solution

The fourth proportional to 5,905.44, 8,158.32 and 4,769.42 is: 6,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.44 : 8,158.32 = 4,769.42 : x
  2. Step 2: Convert to fraction form
    5,905.44/8,158.32 = 4,769.42/x
  3. Step 3: Cross multiply
    5,905.44x = 8,158.32 × 4,769.42
  4. Step 4: Simplify right side
    5,905.44x = 38,910,413.78
  5. Step 5: Solve for x
    x = 38,910,413.78/5,905.44
  6. Step 6: Final answer
    x = 6,588.91

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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.