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Finding the Fourth Proportional to 3,303.97, 4,956.46 and 1,082.07

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Solution

The fourth proportional to 3,303.97, 4,956.46 and 1,082.07 is: 1,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.97 : 4,956.46 = 1,082.07 : x
  2. Step 2: Convert to fraction form
    3,303.97/4,956.46 = 1,082.07/x
  3. Step 3: Cross multiply
    3,303.97x = 4,956.46 × 1,082.07
  4. Step 4: Simplify right side
    3,303.97x = 5,363,233.97
  5. Step 5: Solve for x
    x = 5,363,233.97/3,303.97
  6. Step 6: Final answer
    x = 1,623.27

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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.