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Finding the Fourth Proportional to 4,775.80, 7,169.10 and 2,829.10

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Solution

The fourth proportional to 4,775.80, 7,169.10 and 2,829.10 is: 4,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.80 : 7,169.10 = 2,829.10 : x
  2. Step 2: Convert to fraction form
    4,775.80/7,169.10 = 2,829.10/x
  3. Step 3: Cross multiply
    4,775.80x = 7,169.10 × 2,829.10
  4. Step 4: Simplify right side
    4,775.80x = 20,282,100.81
  5. Step 5: Solve for x
    x = 20,282,100.81/4,775.80
  6. Step 6: Final answer
    x = 4,246.85

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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.