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Finding the Fourth Proportional to 3,137.80, 4,706.70 and 2,705.80

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Solution

The fourth proportional to 3,137.80, 4,706.70 and 2,705.80 is: 4,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,706.70 = 2,705.80 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,706.70 = 2,705.80/x
  3. Step 3: Cross multiply
    3,137.80x = 4,706.70 × 2,705.80
  4. Step 4: Simplify right side
    3,137.80x = 12,735,388.86
  5. Step 5: Solve for x
    x = 12,735,388.86/3,137.80
  6. Step 6: Final answer
    x = 4,058.70

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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.