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Finding the Fourth Proportional to 4,031.44, 5,564.04 and 2,771.44

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Solution

The fourth proportional to 4,031.44, 5,564.04 and 2,771.44 is: 3,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.44 : 5,564.04 = 2,771.44 : x
  2. Step 2: Convert to fraction form
    4,031.44/5,564.04 = 2,771.44/x
  3. Step 3: Cross multiply
    4,031.44x = 5,564.04 × 2,771.44
  4. Step 4: Simplify right side
    4,031.44x = 15,420,403.02
  5. Step 5: Solve for x
    x = 15,420,403.02/4,031.44
  6. Step 6: Final answer
    x = 3,825.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.