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Finding the Fourth Proportional to 4,542.44, 6,809.83 and 1,771.05

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Solution

The fourth proportional to 4,542.44, 6,809.83 and 1,771.05 is: 2,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.44 : 6,809.83 = 1,771.05 : x
  2. Step 2: Convert to fraction form
    4,542.44/6,809.83 = 1,771.05/x
  3. Step 3: Cross multiply
    4,542.44x = 6,809.83 × 1,771.05
  4. Step 4: Simplify right side
    4,542.44x = 12,060,544.99
  5. Step 5: Solve for x
    x = 12,060,544.99/4,542.44
  6. Step 6: Final answer
    x = 2,655.08

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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.