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Finding the Fourth Proportional to 5,842.44, 8,755.47 and 5,191.83

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Solution

The fourth proportional to 5,842.44, 8,755.47 and 5,191.83 is: 7,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.44 : 8,755.47 = 5,191.83 : x
  2. Step 2: Convert to fraction form
    5,842.44/8,755.47 = 5,191.83/x
  3. Step 3: Cross multiply
    5,842.44x = 8,755.47 × 5,191.83
  4. Step 4: Simplify right side
    5,842.44x = 45,456,911.81
  5. Step 5: Solve for x
    x = 45,456,911.81/5,842.44
  6. Step 6: Final answer
    x = 7,780.47

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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.