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Finding the Fourth Proportional to 3,670.43, 5,059.27 and 3,006.11

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Solution

The fourth proportional to 3,670.43, 5,059.27 and 3,006.11 is: 4,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.43 : 5,059.27 = 3,006.11 : x
  2. Step 2: Convert to fraction form
    3,670.43/5,059.27 = 3,006.11/x
  3. Step 3: Cross multiply
    3,670.43x = 5,059.27 × 3,006.11
  4. Step 4: Simplify right side
    3,670.43x = 15,208,722.14
  5. Step 5: Solve for x
    x = 15,208,722.14/3,670.43
  6. Step 6: Final answer
    x = 4,143.58

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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.