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Finding the Fourth Proportional to 3,801.34, 5,677.05 and 3,240.07

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Solution

The fourth proportional to 3,801.34, 5,677.05 and 3,240.07 is: 4,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.34 : 5,677.05 = 3,240.07 : x
  2. Step 2: Convert to fraction form
    3,801.34/5,677.05 = 3,240.07/x
  3. Step 3: Cross multiply
    3,801.34x = 5,677.05 × 3,240.07
  4. Step 4: Simplify right side
    3,801.34x = 18,394,047.49
  5. Step 5: Solve for x
    x = 18,394,047.49/3,801.34
  6. Step 6: Final answer
    x = 4,838.83

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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.