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Finding the Fourth Proportional to 3,967.29, 5,474.67 and 2,289.23

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Solution

The fourth proportional to 3,967.29, 5,474.67 and 2,289.23 is: 3,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.29 : 5,474.67 = 2,289.23 : x
  2. Step 2: Convert to fraction form
    3,967.29/5,474.67 = 2,289.23/x
  3. Step 3: Cross multiply
    3,967.29x = 5,474.67 × 2,289.23
  4. Step 4: Simplify right side
    3,967.29x = 12,532,783.91
  5. Step 5: Solve for x
    x = 12,532,783.91/3,967.29
  6. Step 6: Final answer
    x = 3,159.03

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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.