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Finding the Fourth Proportional to 3,944, 5,442.54 and 2,175.56

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Solution

The fourth proportional to 3,944, 5,442.54 and 2,175.56 is: 3,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944 : 5,442.54 = 2,175.56 : x
  2. Step 2: Convert to fraction form
    3,944/5,442.54 = 2,175.56/x
  3. Step 3: Cross multiply
    3,944x = 5,442.54 × 2,175.56
  4. Step 4: Simplify right side
    3,944x = 11,840,572.32
  5. Step 5: Solve for x
    x = 11,840,572.32/3,944
  6. Step 6: Final answer
    x = 3,002.17

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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.