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Finding the Fourth Proportional to 5,234, 7,846.32 and 2,116.32

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Solution

The fourth proportional to 5,234, 7,846.32 and 2,116.32 is: 3,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 7,846.32 = 2,116.32 : x
  2. Step 2: Convert to fraction form
    5,234/7,846.32 = 2,116.32/x
  3. Step 3: Cross multiply
    5,234x = 7,846.32 × 2,116.32
  4. Step 4: Simplify right side
    5,234x = 16,605,323.94
  5. Step 5: Solve for x
    x = 16,605,323.94/5,234
  6. Step 6: Final answer
    x = 3,172.59

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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.