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Finding the Fourth Proportional to 3,860.40, 5,782.88 and 1,777.52

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Solution

The fourth proportional to 3,860.40, 5,782.88 and 1,777.52 is: 2,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.40 : 5,782.88 = 1,777.52 : x
  2. Step 2: Convert to fraction form
    3,860.40/5,782.88 = 1,777.52/x
  3. Step 3: Cross multiply
    3,860.40x = 5,782.88 × 1,777.52
  4. Step 4: Simplify right side
    3,860.40x = 10,279,184.86
  5. Step 5: Solve for x
    x = 10,279,184.86/3,860.40
  6. Step 6: Final answer
    x = 2,662.73

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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.