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Finding the Fourth Proportional to 4,869, 7,296.66 and 3,226.68

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Solution

The fourth proportional to 4,869, 7,296.66 and 3,226.68 is: 4,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 7,296.66 = 3,226.68 : x
  2. Step 2: Convert to fraction form
    4,869/7,296.66 = 3,226.68/x
  3. Step 3: Cross multiply
    4,869x = 7,296.66 × 3,226.68
  4. Step 4: Simplify right side
    4,869x = 23,543,986.89
  5. Step 5: Solve for x
    x = 23,543,986.89/4,869
  6. Step 6: Final answer
    x = 4,835.49

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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.