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Finding the Fourth Proportional to 3,777.14, 5,623.56 and 3,722.46

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Solution

The fourth proportional to 3,777.14, 5,623.56 and 3,722.46 is: 5,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.14 : 5,623.56 = 3,722.46 : x
  2. Step 2: Convert to fraction form
    3,777.14/5,623.56 = 3,722.46/x
  3. Step 3: Cross multiply
    3,777.14x = 5,623.56 × 3,722.46
  4. Step 4: Simplify right side
    3,777.14x = 20,933,477.16
  5. Step 5: Solve for x
    x = 20,933,477.16/3,777.14
  6. Step 6: Final answer
    x = 5,542.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.