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Finding the Fourth Proportional to 5,406.44, 7,461.56 and 3,049.32

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Solution

The fourth proportional to 5,406.44, 7,461.56 and 3,049.32 is: 4,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.44 : 7,461.56 = 3,049.32 : x
  2. Step 2: Convert to fraction form
    5,406.44/7,461.56 = 3,049.32/x
  3. Step 3: Cross multiply
    5,406.44x = 7,461.56 × 3,049.32
  4. Step 4: Simplify right side
    5,406.44x = 22,752,684.14
  5. Step 5: Solve for x
    x = 22,752,684.14/5,406.44
  6. Step 6: Final answer
    x = 4,208.44

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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.