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Finding the Fourth Proportional to 3,768.16, 5,200 and 2,066.66

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Solution

The fourth proportional to 3,768.16, 5,200 and 2,066.66 is: 2,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.16 : 5,200 = 2,066.66 : x
  2. Step 2: Convert to fraction form
    3,768.16/5,200 = 2,066.66/x
  3. Step 3: Cross multiply
    3,768.16x = 5,200 × 2,066.66
  4. Step 4: Simplify right side
    3,768.16x = 10,746,632
  5. Step 5: Solve for x
    x = 10,746,632/3,768.16
  6. Step 6: Final answer
    x = 2,851.96

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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.