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Finding the Fourth Proportional to 3,745.48, 5,168.80 and 2,066.95

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Solution

The fourth proportional to 3,745.48, 5,168.80 and 2,066.95 is: 2,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.48 : 5,168.80 = 2,066.95 : x
  2. Step 2: Convert to fraction form
    3,745.48/5,168.80 = 2,066.95/x
  3. Step 3: Cross multiply
    3,745.48x = 5,168.80 × 2,066.95
  4. Step 4: Simplify right side
    3,745.48x = 10,683,633.07
  5. Step 5: Solve for x
    x = 10,683,633.07/3,745.48
  6. Step 6: Final answer
    x = 2,852.41

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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.