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Finding the Fourth Proportional to 3,855.17, 5,782.93 and 1,082.03

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Solution

The fourth proportional to 3,855.17, 5,782.93 and 1,082.03 is: 1,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.17 : 5,782.93 = 1,082.03 : x
  2. Step 2: Convert to fraction form
    3,855.17/5,782.93 = 1,082.03/x
  3. Step 3: Cross multiply
    3,855.17x = 5,782.93 × 1,082.03
  4. Step 4: Simplify right side
    3,855.17x = 6,257,272.13
  5. Step 5: Solve for x
    x = 6,257,272.13/3,855.17
  6. Step 6: Final answer
    x = 1,623.08

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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.