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Finding the Fourth Proportional to 3,680.00, 5,078.46 and 2,001.44

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Solution

The fourth proportional to 3,680.00, 5,078.46 and 2,001.44 is: 2,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.00 : 5,078.46 = 2,001.44 : x
  2. Step 2: Convert to fraction form
    3,680.00/5,078.46 = 2,001.44/x
  3. Step 3: Cross multiply
    3,680.00x = 5,078.46 × 2,001.44
  4. Step 4: Simplify right side
    3,680.00x = 10,164,253.18
  5. Step 5: Solve for x
    x = 10,164,253.18/3,680.00
  6. Step 6: Final answer
    x = 2,762.03

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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.