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Finding the Fourth Proportional to 3,470.33, 5,205.50 and 1,623.52

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Solution

The fourth proportional to 3,470.33, 5,205.50 and 1,623.52 is: 2,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.33 : 5,205.50 = 1,623.52 : x
  2. Step 2: Convert to fraction form
    3,470.33/5,205.50 = 1,623.52/x
  3. Step 3: Cross multiply
    3,470.33x = 5,205.50 × 1,623.52
  4. Step 4: Simplify right side
    3,470.33x = 8,451,224.41
  5. Step 5: Solve for x
    x = 8,451,224.41/3,470.33
  6. Step 6: Final answer
    x = 2,435.28

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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.