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Finding the Fourth Proportional to 3,670.45, 5,065.23 and 1,991.86

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Solution

The fourth proportional to 3,670.45, 5,065.23 and 1,991.86 is: 2,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.45 : 5,065.23 = 1,991.86 : x
  2. Step 2: Convert to fraction form
    3,670.45/5,065.23 = 1,991.86/x
  3. Step 3: Cross multiply
    3,670.45x = 5,065.23 × 1,991.86
  4. Step 4: Simplify right side
    3,670.45x = 10,089,219.07
  5. Step 5: Solve for x
    x = 10,089,219.07/3,670.45
  6. Step 6: Final answer
    x = 2,748.77

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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.