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Finding the Fourth Proportional to 3,745.67, 5,168.55 and 2,066.94

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Solution

The fourth proportional to 3,745.67, 5,168.55 and 2,066.94 is: 2,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.67 : 5,168.55 = 2,066.94 : x
  2. Step 2: Convert to fraction form
    3,745.67/5,168.55 = 2,066.94/x
  3. Step 3: Cross multiply
    3,745.67x = 5,168.55 × 2,066.94
  4. Step 4: Simplify right side
    3,745.67x = 10,683,082.74
  5. Step 5: Solve for x
    x = 10,683,082.74/3,745.67
  6. Step 6: Final answer
    x = 2,852.12

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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.