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Finding the Fourth Proportional to 5,896.53, 8,138.94 and 3,508.19

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Solution

The fourth proportional to 5,896.53, 8,138.94 and 3,508.19 is: 4,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.53 : 8,138.94 = 3,508.19 : x
  2. Step 2: Convert to fraction form
    5,896.53/8,138.94 = 3,508.19/x
  3. Step 3: Cross multiply
    5,896.53x = 8,138.94 × 3,508.19
  4. Step 4: Simplify right side
    5,896.53x = 28,552,907.22
  5. Step 5: Solve for x
    x = 28,552,907.22/5,896.53
  6. Step 6: Final answer
    x = 4,842.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.