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Finding the Fourth Proportional to 3,550.42, 5,323.75 and 1,771.20

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Solution

The fourth proportional to 3,550.42, 5,323.75 and 1,771.20 is: 2,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.42 : 5,323.75 = 1,771.20 : x
  2. Step 2: Convert to fraction form
    3,550.42/5,323.75 = 1,771.20/x
  3. Step 3: Cross multiply
    3,550.42x = 5,323.75 × 1,771.20
  4. Step 4: Simplify right side
    3,550.42x = 9,429,449.01
  5. Step 5: Solve for x
    x = 9,429,449.01/3,550.42
  6. Step 6: Final answer
    x = 2,655.87

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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.