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Finding the Fourth Proportional to 5,216.39, 7,825.80 and 1,518.54

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Solution

The fourth proportional to 5,216.39, 7,825.80 and 1,518.54 is: 2,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.39 : 7,825.80 = 1,518.54 : x
  2. Step 2: Convert to fraction form
    5,216.39/7,825.80 = 1,518.54/x
  3. Step 3: Cross multiply
    5,216.39x = 7,825.80 × 1,518.54
  4. Step 4: Simplify right side
    5,216.39x = 11,883,790.33
  5. Step 5: Solve for x
    x = 11,883,790.33/5,216.39
  6. Step 6: Final answer
    x = 2,278.16

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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.