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Finding the Fourth Proportional to 3,778.26, 5,669.97 and 1,313.07

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Solution

The fourth proportional to 3,778.26, 5,669.97 and 1,313.07 is: 1,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.26 : 5,669.97 = 1,313.07 : x
  2. Step 2: Convert to fraction form
    3,778.26/5,669.97 = 1,313.07/x
  3. Step 3: Cross multiply
    3,778.26x = 5,669.97 × 1,313.07
  4. Step 4: Simplify right side
    3,778.26x = 7,445,067.51
  5. Step 5: Solve for x
    x = 7,445,067.51/3,778.26
  6. Step 6: Final answer
    x = 1,970.50

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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.