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Finding the Fourth Proportional to 3,742.72, 5,164.99 and 2,064.19

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Solution

The fourth proportional to 3,742.72, 5,164.99 and 2,064.19 is: 2,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.72 : 5,164.99 = 2,064.19 : x
  2. Step 2: Convert to fraction form
    3,742.72/5,164.99 = 2,064.19/x
  3. Step 3: Cross multiply
    3,742.72x = 5,164.99 × 2,064.19
  4. Step 4: Simplify right side
    3,742.72x = 10,661,520.71
  5. Step 5: Solve for x
    x = 10,661,520.71/3,742.72
  6. Step 6: Final answer
    x = 2,848.60

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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.