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Finding the Fourth Proportional to 5,961.94, 8,223.74 and 3,840.22

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Solution

The fourth proportional to 5,961.94, 8,223.74 and 3,840.22 is: 5,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.94 : 8,223.74 = 3,840.22 : x
  2. Step 2: Convert to fraction form
    5,961.94/8,223.74 = 3,840.22/x
  3. Step 3: Cross multiply
    5,961.94x = 8,223.74 × 3,840.22
  4. Step 4: Simplify right side
    5,961.94x = 31,580,970.82
  5. Step 5: Solve for x
    x = 31,580,970.82/5,961.94
  6. Step 6: Final answer
    x = 5,297.10

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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.