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Finding the Fourth Proportional to 4,775.70, 7,163.55 and 2,826.90

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Solution

The fourth proportional to 4,775.70, 7,163.55 and 2,826.90 is: 4,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.70 : 7,163.55 = 2,826.90 : x
  2. Step 2: Convert to fraction form
    4,775.70/7,163.55 = 2,826.90/x
  3. Step 3: Cross multiply
    4,775.70x = 7,163.55 × 2,826.90
  4. Step 4: Simplify right side
    4,775.70x = 20,250,639.50
  5. Step 5: Solve for x
    x = 20,250,639.50/4,775.70
  6. Step 6: Final answer
    x = 4,240.35

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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.