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Finding the Fourth Proportional to 4,743.86, 7,119.42 and 2,148.62

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Solution

The fourth proportional to 4,743.86, 7,119.42 and 2,148.62 is: 3,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.86 : 7,119.42 = 2,148.62 : x
  2. Step 2: Convert to fraction form
    4,743.86/7,119.42 = 2,148.62/x
  3. Step 3: Cross multiply
    4,743.86x = 7,119.42 × 2,148.62
  4. Step 4: Simplify right side
    4,743.86x = 15,296,928.20
  5. Step 5: Solve for x
    x = 15,296,928.20/4,743.86
  6. Step 6: Final answer
    x = 3,224.57

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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.