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Finding the Fourth Proportional to 3,138.41, 4,706.17 and 946.73

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Solution

The fourth proportional to 3,138.41, 4,706.17 and 946.73 is: 1,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.41 : 4,706.17 = 946.73 : x
  2. Step 2: Convert to fraction form
    3,138.41/4,706.17 = 946.73/x
  3. Step 3: Cross multiply
    3,138.41x = 4,706.17 × 946.73
  4. Step 4: Simplify right side
    3,138.41x = 4,455,472.32
  5. Step 5: Solve for x
    x = 4,455,472.32/3,138.41
  6. Step 6: Final answer
    x = 1,419.66

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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.