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Finding the Fourth Proportional to 5,152.96, 7,721.76 and 4,234.96

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Solution

The fourth proportional to 5,152.96, 7,721.76 and 4,234.96 is: 6,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.96 : 7,721.76 = 4,234.96 : x
  2. Step 2: Convert to fraction form
    5,152.96/7,721.76 = 4,234.96/x
  3. Step 3: Cross multiply
    5,152.96x = 7,721.76 × 4,234.96
  4. Step 4: Simplify right side
    5,152.96x = 32,701,344.73
  5. Step 5: Solve for x
    x = 32,701,344.73/5,152.96
  6. Step 6: Final answer
    x = 6,346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.