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Finding the Fourth Proportional to 3,441.69, 4,747.95 and 2,323.35

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Solution

The fourth proportional to 3,441.69, 4,747.95 and 2,323.35 is: 3,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.69 : 4,747.95 = 2,323.35 : x
  2. Step 2: Convert to fraction form
    3,441.69/4,747.95 = 2,323.35/x
  3. Step 3: Cross multiply
    3,441.69x = 4,747.95 × 2,323.35
  4. Step 4: Simplify right side
    3,441.69x = 11,031,149.63
  5. Step 5: Solve for x
    x = 11,031,149.63/3,441.69
  6. Step 6: Final answer
    x = 3,205.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.