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Finding the Fourth Proportional to 5,983.70, 8,258.46 and 4,310.70

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Solution

The fourth proportional to 5,983.70, 8,258.46 and 4,310.70 is: 5,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.70 : 8,258.46 = 4,310.70 : x
  2. Step 2: Convert to fraction form
    5,983.70/8,258.46 = 4,310.70/x
  3. Step 3: Cross multiply
    5,983.70x = 8,258.46 × 4,310.70
  4. Step 4: Simplify right side
    5,983.70x = 35,599,743.52
  5. Step 5: Solve for x
    x = 35,599,743.52/5,983.70
  6. Step 6: Final answer
    x = 5,949.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.