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Finding the Fourth Proportional to 5,629.05, 7,768.05 and 3,145.05

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Solution

The fourth proportional to 5,629.05, 7,768.05 and 3,145.05 is: 4,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.05 : 7,768.05 = 3,145.05 : x
  2. Step 2: Convert to fraction form
    5,629.05/7,768.05 = 3,145.05/x
  3. Step 3: Cross multiply
    5,629.05x = 7,768.05 × 3,145.05
  4. Step 4: Simplify right side
    5,629.05x = 24,430,905.65
  5. Step 5: Solve for x
    x = 24,430,905.65/5,629.05
  6. Step 6: Final answer
    x = 4,340.15

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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.