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Finding the Fourth Proportional to 4,197.07, 6,294.62 and 1,855.80

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Solution

The fourth proportional to 4,197.07, 6,294.62 and 1,855.80 is: 2,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.07 : 6,294.62 = 1,855.80 : x
  2. Step 2: Convert to fraction form
    4,197.07/6,294.62 = 1,855.80/x
  3. Step 3: Cross multiply
    4,197.07x = 6,294.62 × 1,855.80
  4. Step 4: Simplify right side
    4,197.07x = 11,681,560.44
  5. Step 5: Solve for x
    x = 11,681,560.44/4,197.07
  6. Step 6: Final answer
    x = 2,783.26

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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.