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Finding the Fourth Proportional to 4,216.50, 6,324.84 and 1,295.06

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Solution

The fourth proportional to 4,216.50, 6,324.84 and 1,295.06 is: 1,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.50 : 6,324.84 = 1,295.06 : x
  2. Step 2: Convert to fraction form
    4,216.50/6,324.84 = 1,295.06/x
  3. Step 3: Cross multiply
    4,216.50x = 6,324.84 × 1,295.06
  4. Step 4: Simplify right side
    4,216.50x = 8,191,015.67
  5. Step 5: Solve for x
    x = 8,191,015.67/4,216.50
  6. Step 6: Final answer
    x = 1,942.61

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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.