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Finding the Fourth Proportional to 4,022.50, 6,026.08 and 1,936.34

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Solution

The fourth proportional to 4,022.50, 6,026.08 and 1,936.34 is: 2,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.50 : 6,026.08 = 1,936.34 : x
  2. Step 2: Convert to fraction form
    4,022.50/6,026.08 = 1,936.34/x
  3. Step 3: Cross multiply
    4,022.50x = 6,026.08 × 1,936.34
  4. Step 4: Simplify right side
    4,022.50x = 11,668,539.75
  5. Step 5: Solve for x
    x = 11,668,539.75/4,022.50
  6. Step 6: Final answer
    x = 2,900.82

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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.