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Finding the Fourth Proportional to 3,347.82, 5,020.80 and 1,865.22

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Solution

The fourth proportional to 3,347.82, 5,020.80 and 1,865.22 is: 2,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.82 : 5,020.80 = 1,865.22 : x
  2. Step 2: Convert to fraction form
    3,347.82/5,020.80 = 1,865.22/x
  3. Step 3: Cross multiply
    3,347.82x = 5,020.80 × 1,865.22
  4. Step 4: Simplify right side
    3,347.82x = 9,364,896.58
  5. Step 5: Solve for x
    x = 9,364,896.58/3,347.82
  6. Step 6: Final answer
    x = 2,797.31

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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.