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Finding the Fourth Proportional to 5,958, 8,222.46 and 3,440.88

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Solution

The fourth proportional to 5,958, 8,222.46 and 3,440.88 is: 4,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958 : 8,222.46 = 3,440.88 : x
  2. Step 2: Convert to fraction form
    5,958/8,222.46 = 3,440.88/x
  3. Step 3: Cross multiply
    5,958x = 8,222.46 × 3,440.88
  4. Step 4: Simplify right side
    5,958x = 28,292,498.16
  5. Step 5: Solve for x
    x = 28,292,498.16/5,958
  6. Step 6: Final answer
    x = 4,748.66

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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.