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Finding the Fourth Proportional to 3,169.94, 4,721.48 and 3,027.80

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Solution

The fourth proportional to 3,169.94, 4,721.48 and 3,027.80 is: 4,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.94 : 4,721.48 = 3,027.80 : x
  2. Step 2: Convert to fraction form
    3,169.94/4,721.48 = 3,027.80/x
  3. Step 3: Cross multiply
    3,169.94x = 4,721.48 × 3,027.80
  4. Step 4: Simplify right side
    3,169.94x = 14,295,697.14
  5. Step 5: Solve for x
    x = 14,295,697.14/3,169.94
  6. Step 6: Final answer
    x = 4,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.