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Finding the Fourth Proportional to 3,698.45, 5,104.31 and 2,371.67

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Solution

The fourth proportional to 3,698.45, 5,104.31 and 2,371.67 is: 3,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.45 : 5,104.31 = 2,371.67 : x
  2. Step 2: Convert to fraction form
    3,698.45/5,104.31 = 2,371.67/x
  3. Step 3: Cross multiply
    3,698.45x = 5,104.31 × 2,371.67
  4. Step 4: Simplify right side
    3,698.45x = 12,105,701.52
  5. Step 5: Solve for x
    x = 12,105,701.52/3,698.45
  6. Step 6: Final answer
    x = 3,273.19

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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.