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Finding the Fourth Proportional to 5,359.76, 8,033.16 and 1,892.96

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Solution

The fourth proportional to 5,359.76, 8,033.16 and 1,892.96 is: 2,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.76 : 8,033.16 = 1,892.96 : x
  2. Step 2: Convert to fraction form
    5,359.76/8,033.16 = 1,892.96/x
  3. Step 3: Cross multiply
    5,359.76x = 8,033.16 × 1,892.96
  4. Step 4: Simplify right side
    5,359.76x = 15,206,450.55
  5. Step 5: Solve for x
    x = 15,206,450.55/5,359.76
  6. Step 6: Final answer
    x = 2,837.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.