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Finding the Fourth Proportional to 3,403.87, 5,104.47 and 1,323.60

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Solution

The fourth proportional to 3,403.87, 5,104.47 and 1,323.60 is: 1,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.87 : 5,104.47 = 1,323.60 : x
  2. Step 2: Convert to fraction form
    3,403.87/5,104.47 = 1,323.60/x
  3. Step 3: Cross multiply
    3,403.87x = 5,104.47 × 1,323.60
  4. Step 4: Simplify right side
    3,403.87x = 6,756,262.31
  5. Step 5: Solve for x
    x = 6,756,262.31/3,403.87
  6. Step 6: Final answer
    x = 1,984.88

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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.