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Finding the Fourth Proportional to 5,406.54, 8,107.29 and 2,808.78

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Solution

The fourth proportional to 5,406.54, 8,107.29 and 2,808.78 is: 4,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.54 : 8,107.29 = 2,808.78 : x
  2. Step 2: Convert to fraction form
    5,406.54/8,107.29 = 2,808.78/x
  3. Step 3: Cross multiply
    5,406.54x = 8,107.29 × 2,808.78
  4. Step 4: Simplify right side
    5,406.54x = 22,771,594.01
  5. Step 5: Solve for x
    x = 22,771,594.01/5,406.54
  6. Step 6: Final answer
    x = 4,211.86

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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.