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Finding the Fourth Proportional to 5,895.98, 8,842.64 and 1,736.27

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Solution

The fourth proportional to 5,895.98, 8,842.64 and 1,736.27 is: 2,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.98 : 8,842.64 = 1,736.27 : x
  2. Step 2: Convert to fraction form
    5,895.98/8,842.64 = 1,736.27/x
  3. Step 3: Cross multiply
    5,895.98x = 8,842.64 × 1,736.27
  4. Step 4: Simplify right side
    5,895.98x = 15,353,157.66
  5. Step 5: Solve for x
    x = 15,353,157.66/5,895.98
  6. Step 6: Final answer
    x = 2,604.01

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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.