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Finding the Fourth Proportional to 4,161.86, 5,735.47 and 2,980.88

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Solution

The fourth proportional to 4,161.86, 5,735.47 and 2,980.88 is: 4,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.86 : 5,735.47 = 2,980.88 : x
  2. Step 2: Convert to fraction form
    4,161.86/5,735.47 = 2,980.88/x
  3. Step 3: Cross multiply
    4,161.86x = 5,735.47 × 2,980.88
  4. Step 4: Simplify right side
    4,161.86x = 17,096,747.81
  5. Step 5: Solve for x
    x = 17,096,747.81/4,161.86
  6. Step 6: Final answer
    x = 4,107.96

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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.