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Finding the Fourth Proportional to 3,323.23, 4,986.02 and 2,089.26

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Solution

The fourth proportional to 3,323.23, 4,986.02 and 2,089.26 is: 3,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.23 : 4,986.02 = 2,089.26 : x
  2. Step 2: Convert to fraction form
    3,323.23/4,986.02 = 2,089.26/x
  3. Step 3: Cross multiply
    3,323.23x = 4,986.02 × 2,089.26
  4. Step 4: Simplify right side
    3,323.23x = 10,417,097.37
  5. Step 5: Solve for x
    x = 10,417,097.37/3,323.23
  6. Step 6: Final answer
    x = 3,134.63

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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.