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Finding the Fourth Proportional to 4,163.84, 5,745.84 and 2,300.88

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Solution

The fourth proportional to 4,163.84, 5,745.84 and 2,300.88 is: 3,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.84 : 5,745.84 = 2,300.88 : x
  2. Step 2: Convert to fraction form
    4,163.84/5,745.84 = 2,300.88/x
  3. Step 3: Cross multiply
    4,163.84x = 5,745.84 × 2,300.88
  4. Step 4: Simplify right side
    4,163.84x = 13,220,488.34
  5. Step 5: Solve for x
    x = 13,220,488.34/4,163.84
  6. Step 6: Final answer
    x = 3,175.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.