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Finding the Fourth Proportional to 3,774.36, 5,661.62 and 1,309.26

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Solution

The fourth proportional to 3,774.36, 5,661.62 and 1,309.26 is: 1,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.36 : 5,661.62 = 1,309.26 : x
  2. Step 2: Convert to fraction form
    3,774.36/5,661.62 = 1,309.26/x
  3. Step 3: Cross multiply
    3,774.36x = 5,661.62 × 1,309.26
  4. Step 4: Simplify right side
    3,774.36x = 7,412,532.60
  5. Step 5: Solve for x
    x = 7,412,532.60/3,774.36
  6. Step 6: Final answer
    x = 1,963.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.