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Finding the Fourth Proportional to 3,137.91, 4,706.02 and 946.41

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Solution

The fourth proportional to 3,137.91, 4,706.02 and 946.41 is: 1,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.91 : 4,706.02 = 946.41 : x
  2. Step 2: Convert to fraction form
    3,137.91/4,706.02 = 946.41/x
  3. Step 3: Cross multiply
    3,137.91x = 4,706.02 × 946.41
  4. Step 4: Simplify right side
    3,137.91x = 4,453,824.39
  5. Step 5: Solve for x
    x = 4,453,824.39/3,137.91
  6. Step 6: Final answer
    x = 1,419.36

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Why These Related Problems?

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