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Finding the Fourth Proportional to 5,944, 8,202.72 and 3,461.44

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Solution

The fourth proportional to 5,944, 8,202.72 and 3,461.44 is: 4,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944 : 8,202.72 = 3,461.44 : x
  2. Step 2: Convert to fraction form
    5,944/8,202.72 = 3,461.44/x
  3. Step 3: Cross multiply
    5,944x = 8,202.72 × 3,461.44
  4. Step 4: Simplify right side
    5,944x = 28,393,223.12
  5. Step 5: Solve for x
    x = 28,393,223.12/5,944
  6. Step 6: Final answer
    x = 4,776.79

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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.