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Finding the Fourth Proportional to 3,777, 5,212.58 and 2,121.32

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Solution

The fourth proportional to 3,777, 5,212.58 and 2,121.32 is: 2,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,212.58 = 2,121.32 : x
  2. Step 2: Convert to fraction form
    3,777/5,212.58 = 2,121.32/x
  3. Step 3: Cross multiply
    3,777x = 5,212.58 × 2,121.32
  4. Step 4: Simplify right side
    3,777x = 11,057,550.21
  5. Step 5: Solve for x
    x = 11,057,550.21/3,777
  6. Step 6: Final answer
    x = 2,927.60

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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.