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Finding the Fourth Proportional to 5,406.44, 7,461.61 and 3,169.20

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Solution

The fourth proportional to 5,406.44, 7,461.61 and 3,169.20 is: 4,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.44 : 7,461.61 = 3,169.20 : x
  2. Step 2: Convert to fraction form
    5,406.44/7,461.61 = 3,169.20/x
  3. Step 3: Cross multiply
    5,406.44x = 7,461.61 × 3,169.20
  4. Step 4: Simplify right side
    5,406.44x = 23,647,326.49
  5. Step 5: Solve for x
    x = 23,647,326.49/5,406.44
  6. Step 6: Final answer
    x = 4,373.92

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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.