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Finding the Fourth Proportional to 3,005.62, 4,165.93 and 2,832.58

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Solution

The fourth proportional to 3,005.62, 4,165.93 and 2,832.58 is: 3,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.62 : 4,165.93 = 2,832.58 : x
  2. Step 2: Convert to fraction form
    3,005.62/4,165.93 = 2,832.58/x
  3. Step 3: Cross multiply
    3,005.62x = 4,165.93 × 2,832.58
  4. Step 4: Simplify right side
    3,005.62x = 11,800,337.08
  5. Step 5: Solve for x
    x = 11,800,337.08/3,005.62
  6. Step 6: Final answer
    x = 3,926.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.