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Finding the Fourth Proportional to 5,384.92, 7,431.58 and 3,027.48

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Solution

The fourth proportional to 5,384.92, 7,431.58 and 3,027.48 is: 4,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.92 : 7,431.58 = 3,027.48 : x
  2. Step 2: Convert to fraction form
    5,384.92/7,431.58 = 3,027.48/x
  3. Step 3: Cross multiply
    5,384.92x = 7,431.58 × 3,027.48
  4. Step 4: Simplify right side
    5,384.92x = 22,498,959.82
  5. Step 5: Solve for x
    x = 22,498,959.82/5,384.92
  6. Step 6: Final answer
    x = 4,178.14

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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.