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Finding the Fourth Proportional to 4,258.78, 6,384.39 and 1,663.54

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Solution

The fourth proportional to 4,258.78, 6,384.39 and 1,663.54 is: 2,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.78 : 6,384.39 = 1,663.54 : x
  2. Step 2: Convert to fraction form
    4,258.78/6,384.39 = 1,663.54/x
  3. Step 3: Cross multiply
    4,258.78x = 6,384.39 × 1,663.54
  4. Step 4: Simplify right side
    4,258.78x = 10,620,688.14
  5. Step 5: Solve for x
    x = 10,620,688.14/4,258.78
  6. Step 6: Final answer
    x = 2,493.83

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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.