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Finding the Fourth Proportional to 5,365.24, 8,050.89 and 2,078.56

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Solution

The fourth proportional to 5,365.24, 8,050.89 and 2,078.56 is: 3,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.24 : 8,050.89 = 2,078.56 : x
  2. Step 2: Convert to fraction form
    5,365.24/8,050.89 = 2,078.56/x
  3. Step 3: Cross multiply
    5,365.24x = 8,050.89 × 2,078.56
  4. Step 4: Simplify right side
    5,365.24x = 16,734,275.78
  5. Step 5: Solve for x
    x = 16,734,275.78/5,365.24
  6. Step 6: Final answer
    x = 3,119.02

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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.