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Finding the Fourth Proportional to 3,832.65, 5,746.05 and 1,982.58

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Solution

The fourth proportional to 3,832.65, 5,746.05 and 1,982.58 is: 2,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.65 : 5,746.05 = 1,982.58 : x
  2. Step 2: Convert to fraction form
    3,832.65/5,746.05 = 1,982.58/x
  3. Step 3: Cross multiply
    3,832.65x = 5,746.05 × 1,982.58
  4. Step 4: Simplify right side
    3,832.65x = 11,392,003.81
  5. Step 5: Solve for x
    x = 11,392,003.81/3,832.65
  6. Step 6: Final answer
    x = 2,972.36

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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.