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Finding the Fourth Proportional to 5,226.68, 7,835.16 and 1,761.50

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Solution

The fourth proportional to 5,226.68, 7,835.16 and 1,761.50 is: 2,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.68 : 7,835.16 = 1,761.50 : x
  2. Step 2: Convert to fraction form
    5,226.68/7,835.16 = 1,761.50/x
  3. Step 3: Cross multiply
    5,226.68x = 7,835.16 × 1,761.50
  4. Step 4: Simplify right side
    5,226.68x = 13,801,634.34
  5. Step 5: Solve for x
    x = 13,801,634.34/5,226.68
  6. Step 6: Final answer
    x = 2,640.61

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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.