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Finding the Fourth Proportional to 3,745.35, 5,168.43 and 2,066.76

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Solution

The fourth proportional to 3,745.35, 5,168.43 and 2,066.76 is: 2,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.35 : 5,168.43 = 2,066.76 : x
  2. Step 2: Convert to fraction form
    3,745.35/5,168.43 = 2,066.76/x
  3. Step 3: Cross multiply
    3,745.35x = 5,168.43 × 2,066.76
  4. Step 4: Simplify right side
    3,745.35x = 10,681,904.39
  5. Step 5: Solve for x
    x = 10,681,904.39/3,745.35
  6. Step 6: Final answer
    x = 2,852.04

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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.