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Finding the Fourth Proportional to 5,216.23, 7,823.51 and 2,293.99

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Solution

The fourth proportional to 5,216.23, 7,823.51 and 2,293.99 is: 3,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.23 : 7,823.51 = 2,293.99 : x
  2. Step 2: Convert to fraction form
    5,216.23/7,823.51 = 2,293.99/x
  3. Step 3: Cross multiply
    5,216.23x = 7,823.51 × 2,293.99
  4. Step 4: Simplify right side
    5,216.23x = 17,947,042.23
  5. Step 5: Solve for x
    x = 17,947,042.23/5,216.23
  6. Step 6: Final answer
    x = 3,440.62

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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.