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Finding the Fourth Proportional to 3,180.07, 4,762.81 and 3,000.25

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Solution

The fourth proportional to 3,180.07, 4,762.81 and 3,000.25 is: 4,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.07 : 4,762.81 = 3,000.25 : x
  2. Step 2: Convert to fraction form
    3,180.07/4,762.81 = 3,000.25/x
  3. Step 3: Cross multiply
    3,180.07x = 4,762.81 × 3,000.25
  4. Step 4: Simplify right side
    3,180.07x = 14,289,620.70
  5. Step 5: Solve for x
    x = 14,289,620.70/3,180.07
  6. Step 6: Final answer
    x = 4,493.49

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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.