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Finding the Fourth Proportional to 3,975.88, 5,962.91 and 1,785.23

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Solution

The fourth proportional to 3,975.88, 5,962.91 and 1,785.23 is: 2,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.88 : 5,962.91 = 1,785.23 : x
  2. Step 2: Convert to fraction form
    3,975.88/5,962.91 = 1,785.23/x
  3. Step 3: Cross multiply
    3,975.88x = 5,962.91 × 1,785.23
  4. Step 4: Simplify right side
    3,975.88x = 10,645,188.00
  5. Step 5: Solve for x
    x = 10,645,188.00/3,975.88
  6. Step 6: Final answer
    x = 2,677.44

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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.