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Finding the Fourth Proportional to 3,674.09, 5,505.27 and 3,301.09

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Solution

The fourth proportional to 3,674.09, 5,505.27 and 3,301.09 is: 4,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.09 : 5,505.27 = 3,301.09 : x
  2. Step 2: Convert to fraction form
    3,674.09/5,505.27 = 3,301.09/x
  3. Step 3: Cross multiply
    3,674.09x = 5,505.27 × 3,301.09
  4. Step 4: Simplify right side
    3,674.09x = 18,173,365.60
  5. Step 5: Solve for x
    x = 18,173,365.60/3,674.09
  6. Step 6: Final answer
    x = 4,946.35

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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.