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Finding the Fourth Proportional to 3,709.52, 5,119.28 and 2,030.82

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Solution

The fourth proportional to 3,709.52, 5,119.28 and 2,030.82 is: 2,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.52 : 5,119.28 = 2,030.82 : x
  2. Step 2: Convert to fraction form
    3,709.52/5,119.28 = 2,030.82/x
  3. Step 3: Cross multiply
    3,709.52x = 5,119.28 × 2,030.82
  4. Step 4: Simplify right side
    3,709.52x = 10,396,336.21
  5. Step 5: Solve for x
    x = 10,396,336.21/3,709.52
  6. Step 6: Final answer
    x = 2,802.61

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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.