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Finding the Fourth Proportional to 3,777.99, 5,666.31 and 2,017.46

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Solution

The fourth proportional to 3,777.99, 5,666.31 and 2,017.46 is: 3,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.99 : 5,666.31 = 2,017.46 : x
  2. Step 2: Convert to fraction form
    3,777.99/5,666.31 = 2,017.46/x
  3. Step 3: Cross multiply
    3,777.99x = 5,666.31 × 2,017.46
  4. Step 4: Simplify right side
    3,777.99x = 11,431,525.44
  5. Step 5: Solve for x
    x = 11,431,525.44/3,777.99
  6. Step 6: Final answer
    x = 3,025.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.