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Finding the Fourth Proportional to 3,404.50, 5,106.44 and 1,762.43

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Solution

The fourth proportional to 3,404.50, 5,106.44 and 1,762.43 is: 2,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.50 : 5,106.44 = 1,762.43 : x
  2. Step 2: Convert to fraction form
    3,404.50/5,106.44 = 1,762.43/x
  3. Step 3: Cross multiply
    3,404.50x = 5,106.44 × 1,762.43
  4. Step 4: Simplify right side
    3,404.50x = 8,999,721.92
  5. Step 5: Solve for x
    x = 8,999,721.92/3,404.50
  6. Step 6: Final answer
    x = 2,643.48

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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.