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Finding the Fourth Proportional to 3,403.86, 5,104.49 and 1,323.59

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Solution

The fourth proportional to 3,403.86, 5,104.49 and 1,323.59 is: 1,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.86 : 5,104.49 = 1,323.59 : x
  2. Step 2: Convert to fraction form
    3,403.86/5,104.49 = 1,323.59/x
  3. Step 3: Cross multiply
    3,403.86x = 5,104.49 × 1,323.59
  4. Step 4: Simplify right side
    3,403.86x = 6,756,219.78
  5. Step 5: Solve for x
    x = 6,756,219.78/3,403.86
  6. Step 6: Final answer
    x = 1,984.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.