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Finding the Fourth Proportional to 3,575.96, 4,935.08 and 1,982.69

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Solution

The fourth proportional to 3,575.96, 4,935.08 and 1,982.69 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.96 : 4,935.08 = 1,982.69 : x
  2. Step 2: Convert to fraction form
    3,575.96/4,935.08 = 1,982.69/x
  3. Step 3: Cross multiply
    3,575.96x = 4,935.08 × 1,982.69
  4. Step 4: Simplify right side
    3,575.96x = 9,784,732.55
  5. Step 5: Solve for x
    x = 9,784,732.55/3,575.96
  6. Step 6: Final answer
    x = 2,736.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.