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Finding the Fourth Proportional to 5,219.26, 7,828.79 and 1,323.56

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Solution

The fourth proportional to 5,219.26, 7,828.79 and 1,323.56 is: 1,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.26 : 7,828.79 = 1,323.56 : x
  2. Step 2: Convert to fraction form
    5,219.26/7,828.79 = 1,323.56/x
  3. Step 3: Cross multiply
    5,219.26x = 7,828.79 × 1,323.56
  4. Step 4: Simplify right side
    5,219.26x = 10,361,886.25
  5. Step 5: Solve for x
    x = 10,361,886.25/5,219.26
  6. Step 6: Final answer
    x = 1,985.32

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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.