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Finding the Fourth Proportional to 3,759.54, 5,635.50 and 1,810.68

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Solution

The fourth proportional to 3,759.54, 5,635.50 and 1,810.68 is: 2,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.54 : 5,635.50 = 1,810.68 : x
  2. Step 2: Convert to fraction form
    3,759.54/5,635.50 = 1,810.68/x
  3. Step 3: Cross multiply
    3,759.54x = 5,635.50 × 1,810.68
  4. Step 4: Simplify right side
    3,759.54x = 10,204,087.14
  5. Step 5: Solve for x
    x = 10,204,087.14/3,759.54
  6. Step 6: Final answer
    x = 2,714.19

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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.