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Finding the Fourth Proportional to 3,679.05, 5,077.08 and 2,000.47

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Solution

The fourth proportional to 3,679.05, 5,077.08 and 2,000.47 is: 2,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.05 : 5,077.08 = 2,000.47 : x
  2. Step 2: Convert to fraction form
    3,679.05/5,077.08 = 2,000.47/x
  3. Step 3: Cross multiply
    3,679.05x = 5,077.08 × 2,000.47
  4. Step 4: Simplify right side
    3,679.05x = 10,156,541.04
  5. Step 5: Solve for x
    x = 10,156,541.04/3,679.05
  6. Step 6: Final answer
    x = 2,760.64

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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.