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Finding the Fourth Proportional to 3,895, 5,843.12 and 1,298.55

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Solution

The fourth proportional to 3,895, 5,843.12 and 1,298.55 is: 1,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895 : 5,843.12 = 1,298.55 : x
  2. Step 2: Convert to fraction form
    3,895/5,843.12 = 1,298.55/x
  3. Step 3: Cross multiply
    3,895x = 5,843.12 × 1,298.55
  4. Step 4: Simplify right side
    3,895x = 7,587,583.48
  5. Step 5: Solve for x
    x = 7,587,583.48/3,895
  6. Step 6: Final answer
    x = 1,948.03

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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.