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Finding the Fourth Proportional to 5,957.22, 8,222.10 and 3,440.97

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Solution

The fourth proportional to 5,957.22, 8,222.10 and 3,440.97 is: 4,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.22 : 8,222.10 = 3,440.97 : x
  2. Step 2: Convert to fraction form
    5,957.22/8,222.10 = 3,440.97/x
  3. Step 3: Cross multiply
    5,957.22x = 8,222.10 × 3,440.97
  4. Step 4: Simplify right side
    5,957.22x = 28,291,999.44
  5. Step 5: Solve for x
    x = 28,291,999.44/5,957.22
  6. Step 6: Final answer
    x = 4,749.19

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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.