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Finding the Fourth Proportional to 4,615.78, 6,912.51 and 3,230.50

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Solution

The fourth proportional to 4,615.78, 6,912.51 and 3,230.50 is: 4,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.78 : 6,912.51 = 3,230.50 : x
  2. Step 2: Convert to fraction form
    4,615.78/6,912.51 = 3,230.50/x
  3. Step 3: Cross multiply
    4,615.78x = 6,912.51 × 3,230.50
  4. Step 4: Simplify right side
    4,615.78x = 22,330,863.56
  5. Step 5: Solve for x
    x = 22,330,863.56/4,615.78
  6. Step 6: Final answer
    x = 4,837.94

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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.