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Finding the Fourth Proportional to 4,592.50, 6,905.34 and 4,231.64

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Solution

The fourth proportional to 4,592.50, 6,905.34 and 4,231.64 is: 6,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.50 : 6,905.34 = 4,231.64 : x
  2. Step 2: Convert to fraction form
    4,592.50/6,905.34 = 4,231.64/x
  3. Step 3: Cross multiply
    4,592.50x = 6,905.34 × 4,231.64
  4. Step 4: Simplify right side
    4,592.50x = 29,220,912.96
  5. Step 5: Solve for x
    x = 29,220,912.96/4,592.50
  6. Step 6: Final answer
    x = 6,362.75

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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.