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Finding the Fourth Proportional to 3,894.17, 5,840.18 and 1,082.36

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Solution

The fourth proportional to 3,894.17, 5,840.18 and 1,082.36 is: 1,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.17 : 5,840.18 = 1,082.36 : x
  2. Step 2: Convert to fraction form
    3,894.17/5,840.18 = 1,082.36/x
  3. Step 3: Cross multiply
    3,894.17x = 5,840.18 × 1,082.36
  4. Step 4: Simplify right side
    3,894.17x = 6,321,190.47
  5. Step 5: Solve for x
    x = 6,321,190.47/3,894.17
  6. Step 6: Final answer
    x = 1,623.24

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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.