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Finding the Fourth Proportional to 5,761.63, 8,641.49 and 1,601.07

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Solution

The fourth proportional to 5,761.63, 8,641.49 and 1,601.07 is: 2,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.63 : 8,641.49 = 1,601.07 : x
  2. Step 2: Convert to fraction form
    5,761.63/8,641.49 = 1,601.07/x
  3. Step 3: Cross multiply
    5,761.63x = 8,641.49 × 1,601.07
  4. Step 4: Simplify right side
    5,761.63x = 13,835,589.98
  5. Step 5: Solve for x
    x = 13,835,589.98/5,761.63
  6. Step 6: Final answer
    x = 2,401.33

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1.5x scale

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.