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Finding the Fourth Proportional to 3,470.95, 5,198.23 and 2,371.98

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Solution

The fourth proportional to 3,470.95, 5,198.23 and 2,371.98 is: 3,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.95 : 5,198.23 = 2,371.98 : x
  2. Step 2: Convert to fraction form
    3,470.95/5,198.23 = 2,371.98/x
  3. Step 3: Cross multiply
    3,470.95x = 5,198.23 × 2,371.98
  4. Step 4: Simplify right side
    3,470.95x = 12,330,106.71
  5. Step 5: Solve for x
    x = 12,330,106.71/3,470.95
  6. Step 6: Final answer
    x = 3,552.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.