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Finding the Fourth Proportional to 3,678.57, 5,076.53 and 2,000.09

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Solution

The fourth proportional to 3,678.57, 5,076.53 and 2,000.09 is: 2,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.57 : 5,076.53 = 2,000.09 : x
  2. Step 2: Convert to fraction form
    3,678.57/5,076.53 = 2,000.09/x
  3. Step 3: Cross multiply
    3,678.57x = 5,076.53 × 2,000.09
  4. Step 4: Simplify right side
    3,678.57x = 10,153,527.08
  5. Step 5: Solve for x
    x = 10,153,527.08/3,678.57
  6. Step 6: Final answer
    x = 2,760.18

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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.