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Finding the Fourth Proportional to 4,906.38, 7,358.52 and 1,618.70

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Solution

The fourth proportional to 4,906.38, 7,358.52 and 1,618.70 is: 2,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.38 : 7,358.52 = 1,618.70 : x
  2. Step 2: Convert to fraction form
    4,906.38/7,358.52 = 1,618.70/x
  3. Step 3: Cross multiply
    4,906.38x = 7,358.52 × 1,618.70
  4. Step 4: Simplify right side
    4,906.38x = 11,911,205.60
  5. Step 5: Solve for x
    x = 11,911,205.60/4,906.38
  6. Step 6: Final answer
    x = 2,427.70

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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.