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Finding the Fourth Proportional to 3,389.72, 4,667.42 and 2,967.71

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Solution

The fourth proportional to 3,389.72, 4,667.42 and 2,967.71 is: 4,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.72 : 4,667.42 = 2,967.71 : x
  2. Step 2: Convert to fraction form
    3,389.72/4,667.42 = 2,967.71/x
  3. Step 3: Cross multiply
    3,389.72x = 4,667.42 × 2,967.71
  4. Step 4: Simplify right side
    3,389.72x = 13,851,533.09
  5. Step 5: Solve for x
    x = 13,851,533.09/3,389.72
  6. Step 6: Final answer
    x = 4,086.34

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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.