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Finding the Fourth Proportional to 3,680.42, 5,078.99 and 2,001.84

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Solution

The fourth proportional to 3,680.42, 5,078.99 and 2,001.84 is: 2,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.42 : 5,078.99 = 2,001.84 : x
  2. Step 2: Convert to fraction form
    3,680.42/5,078.99 = 2,001.84/x
  3. Step 3: Cross multiply
    3,680.42x = 5,078.99 × 2,001.84
  4. Step 4: Simplify right side
    3,680.42x = 10,167,325.34
  5. Step 5: Solve for x
    x = 10,167,325.34/3,680.42
  6. Step 6: Final answer
    x = 2,762.54

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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.