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Finding the Fourth Proportional to 3,860.16, 5,782.49 and 1,777.28

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Solution

The fourth proportional to 3,860.16, 5,782.49 and 1,777.28 is: 2,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.16 : 5,782.49 = 1,777.28 : x
  2. Step 2: Convert to fraction form
    3,860.16/5,782.49 = 1,777.28/x
  3. Step 3: Cross multiply
    3,860.16x = 5,782.49 × 1,777.28
  4. Step 4: Simplify right side
    3,860.16x = 10,277,066.03
  5. Step 5: Solve for x
    x = 10,277,066.03/3,860.16
  6. Step 6: Final answer
    x = 2,662.34

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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.