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Finding the Fourth Proportional to 5,463.45, 8,196.08 and 1,766.61

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Solution

The fourth proportional to 5,463.45, 8,196.08 and 1,766.61 is: 2,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.45 : 8,196.08 = 1,766.61 : x
  2. Step 2: Convert to fraction form
    5,463.45/8,196.08 = 1,766.61/x
  3. Step 3: Cross multiply
    5,463.45x = 8,196.08 × 1,766.61
  4. Step 4: Simplify right side
    5,463.45x = 14,479,268.06
  5. Step 5: Solve for x
    x = 14,479,268.06/5,463.45
  6. Step 6: Final answer
    x = 2,650.21

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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.