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Finding the Fourth Proportional to 4,147.45, 5,729.10 and 3,852.22

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Solution

The fourth proportional to 4,147.45, 5,729.10 and 3,852.22 is: 5,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.45 : 5,729.10 = 3,852.22 : x
  2. Step 2: Convert to fraction form
    4,147.45/5,729.10 = 3,852.22/x
  3. Step 3: Cross multiply
    4,147.45x = 5,729.10 × 3,852.22
  4. Step 4: Simplify right side
    4,147.45x = 22,069,753.60
  5. Step 5: Solve for x
    x = 22,069,753.60/4,147.45
  6. Step 6: Final answer
    x = 5,321.28

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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.