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Finding the Fourth Proportional to 4,786.05, 7,169.51 and 3,740.85

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Solution

The fourth proportional to 4,786.05, 7,169.51 and 3,740.85 is: 5,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.05 : 7,169.51 = 3,740.85 : x
  2. Step 2: Convert to fraction form
    4,786.05/7,169.51 = 3,740.85/x
  3. Step 3: Cross multiply
    4,786.05x = 7,169.51 × 3,740.85
  4. Step 4: Simplify right side
    4,786.05x = 26,820,070.84
  5. Step 5: Solve for x
    x = 26,820,070.84/4,786.05
  6. Step 6: Final answer
    x = 5,603.80

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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.