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Finding the Fourth Proportional to 4,924.82, 7,383.99 and 2,002.34

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Solution

The fourth proportional to 4,924.82, 7,383.99 and 2,002.34 is: 3,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.82 : 7,383.99 = 2,002.34 : x
  2. Step 2: Convert to fraction form
    4,924.82/7,383.99 = 2,002.34/x
  3. Step 3: Cross multiply
    4,924.82x = 7,383.99 × 2,002.34
  4. Step 4: Simplify right side
    4,924.82x = 14,785,258.54
  5. Step 5: Solve for x
    x = 14,785,258.54/4,924.82
  6. Step 6: Final answer
    x = 3,002.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.