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Finding the Fourth Proportional to 5,513.88, 8,262.72 and 4,120.68

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Solution

The fourth proportional to 5,513.88, 8,262.72 and 4,120.68 is: 6,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.88 : 8,262.72 = 4,120.68 : x
  2. Step 2: Convert to fraction form
    5,513.88/8,262.72 = 4,120.68/x
  3. Step 3: Cross multiply
    5,513.88x = 8,262.72 × 4,120.68
  4. Step 4: Simplify right side
    5,513.88x = 34,048,025.05
  5. Step 5: Solve for x
    x = 34,048,025.05/5,513.88
  6. Step 6: Final answer
    x = 6,174.97

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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.