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Finding the Fourth Proportional to 4,164.79, 5,747.45 and 2,672.74

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Solution

The fourth proportional to 4,164.79, 5,747.45 and 2,672.74 is: 3,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.79 : 5,747.45 = 2,672.74 : x
  2. Step 2: Convert to fraction form
    4,164.79/5,747.45 = 2,672.74/x
  3. Step 3: Cross multiply
    4,164.79x = 5,747.45 × 2,672.74
  4. Step 4: Simplify right side
    4,164.79x = 15,361,439.51
  5. Step 5: Solve for x
    x = 15,361,439.51/4,164.79
  6. Step 6: Final answer
    x = 3,688.41

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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.