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Finding the Fourth Proportional to 4,604.46, 6,906.54 and 1,317.55

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Solution

The fourth proportional to 4,604.46, 6,906.54 and 1,317.55 is: 1,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.46 : 6,906.54 = 1,317.55 : x
  2. Step 2: Convert to fraction form
    4,604.46/6,906.54 = 1,317.55/x
  3. Step 3: Cross multiply
    4,604.46x = 6,906.54 × 1,317.55
  4. Step 4: Simplify right side
    4,604.46x = 9,099,711.78
  5. Step 5: Solve for x
    x = 9,099,711.78/4,604.46
  6. Step 6: Final answer
    x = 1,976.28

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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.