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Finding the Fourth Proportional to 3,785.70, 5,670.45 and 3,137.70

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Solution

The fourth proportional to 3,785.70, 5,670.45 and 3,137.70 is: 4,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.70 : 5,670.45 = 3,137.70 : x
  2. Step 2: Convert to fraction form
    3,785.70/5,670.45 = 3,137.70/x
  3. Step 3: Cross multiply
    3,785.70x = 5,670.45 × 3,137.70
  4. Step 4: Simplify right side
    3,785.70x = 17,792,170.97
  5. Step 5: Solve for x
    x = 17,792,170.97/3,785.70
  6. Step 6: Final answer
    x = 4,699.84

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1.5x scale

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.