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Finding the Fourth Proportional to 3,305.07, 4,956.41 and 1,549.76

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Solution

The fourth proportional to 3,305.07, 4,956.41 and 1,549.76 is: 2,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.07 : 4,956.41 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    3,305.07/4,956.41 = 1,549.76/x
  3. Step 3: Cross multiply
    3,305.07x = 4,956.41 × 1,549.76
  4. Step 4: Simplify right side
    3,305.07x = 7,681,213.43
  5. Step 5: Solve for x
    x = 7,681,213.43/3,305.07
  6. Step 6: Final answer
    x = 2,324.07

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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.