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Finding the Fourth Proportional to 4,859.10, 7,286.84 and 1,738.26

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Solution

The fourth proportional to 4,859.10, 7,286.84 and 1,738.26 is: 2,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.10 : 7,286.84 = 1,738.26 : x
  2. Step 2: Convert to fraction form
    4,859.10/7,286.84 = 1,738.26/x
  3. Step 3: Cross multiply
    4,859.10x = 7,286.84 × 1,738.26
  4. Step 4: Simplify right side
    4,859.10x = 12,666,422.50
  5. Step 5: Solve for x
    x = 12,666,422.50/4,859.10
  6. Step 6: Final answer
    x = 2,606.74

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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.