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Finding the Fourth Proportional to 3,742.51, 5,164.79 and 2,064.09

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Solution

The fourth proportional to 3,742.51, 5,164.79 and 2,064.09 is: 2,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.51 : 5,164.79 = 2,064.09 : x
  2. Step 2: Convert to fraction form
    3,742.51/5,164.79 = 2,064.09/x
  3. Step 3: Cross multiply
    3,742.51x = 5,164.79 × 2,064.09
  4. Step 4: Simplify right side
    3,742.51x = 10,660,591.39
  5. Step 5: Solve for x
    x = 10,660,591.39/3,742.51
  6. Step 6: Final answer
    x = 2,848.51

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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.