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Finding the Fourth Proportional to 3,138.88, 4,706.52 and 946.96

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Solution

The fourth proportional to 3,138.88, 4,706.52 and 946.96 is: 1,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.88 : 4,706.52 = 946.96 : x
  2. Step 2: Convert to fraction form
    3,138.88/4,706.52 = 946.96/x
  3. Step 3: Cross multiply
    3,138.88x = 4,706.52 × 946.96
  4. Step 4: Simplify right side
    3,138.88x = 4,456,886.18
  5. Step 5: Solve for x
    x = 4,456,886.18/3,138.88
  6. Step 6: Final answer
    x = 1,419.90

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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.