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Finding the Fourth Proportional to 5,218.88, 7,830.12 and 3,268.76

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Solution

The fourth proportional to 5,218.88, 7,830.12 and 3,268.76 is: 4,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.88 : 7,830.12 = 3,268.76 : x
  2. Step 2: Convert to fraction form
    5,218.88/7,830.12 = 3,268.76/x
  3. Step 3: Cross multiply
    5,218.88x = 7,830.12 × 3,268.76
  4. Step 4: Simplify right side
    5,218.88x = 25,594,783.05
  5. Step 5: Solve for x
    x = 25,594,783.05/5,218.88
  6. Step 6: Final answer
    x = 4,904.27

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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.