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Finding the Fourth Proportional to 3,218.75, 4,817.16 and 2,699.33

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Solution

The fourth proportional to 3,218.75, 4,817.16 and 2,699.33 is: 4,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.75 : 4,817.16 = 2,699.33 : x
  2. Step 2: Convert to fraction form
    3,218.75/4,817.16 = 2,699.33/x
  3. Step 3: Cross multiply
    3,218.75x = 4,817.16 × 2,699.33
  4. Step 4: Simplify right side
    3,218.75x = 13,003,104.50
  5. Step 5: Solve for x
    x = 13,003,104.50/3,218.75
  6. Step 6: Final answer
    x = 4,039.80

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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.