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Finding the Fourth Proportional to 5,944.84, 8,202.75 and 3,820.75

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Solution

The fourth proportional to 5,944.84, 8,202.75 and 3,820.75 is: 5,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.84 : 8,202.75 = 3,820.75 : x
  2. Step 2: Convert to fraction form
    5,944.84/8,202.75 = 3,820.75/x
  3. Step 3: Cross multiply
    5,944.84x = 8,202.75 × 3,820.75
  4. Step 4: Simplify right side
    5,944.84x = 31,340,657.06
  5. Step 5: Solve for x
    x = 31,340,657.06/5,944.84
  6. Step 6: Final answer
    x = 5,271.91

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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.