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Finding the Fourth Proportional to 5,731, 8,596.74 and 1,627

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Solution

The fourth proportional to 5,731, 8,596.74 and 1,627 is: 2,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 8,596.74 = 1,627 : x
  2. Step 2: Convert to fraction form
    5,731/8,596.74 = 1,627/x
  3. Step 3: Cross multiply
    5,731x = 8,596.74 × 1,627
  4. Step 4: Simplify right side
    5,731x = 13,986,895.98
  5. Step 5: Solve for x
    x = 13,986,895.98/5,731
  6. Step 6: Final answer
    x = 2,440.57

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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.