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Finding the Fourth Proportional to 3,759.36, 5,636.64 and 1,293.60

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Solution

The fourth proportional to 3,759.36, 5,636.64 and 1,293.60 is: 1,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.36 : 5,636.64 = 1,293.60 : x
  2. Step 2: Convert to fraction form
    3,759.36/5,636.64 = 1,293.60/x
  3. Step 3: Cross multiply
    3,759.36x = 5,636.64 × 1,293.60
  4. Step 4: Simplify right side
    3,759.36x = 7,291,557.50
  5. Step 5: Solve for x
    x = 7,291,557.50/3,759.36
  6. Step 6: Final answer
    x = 1,939.57

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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.