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Finding the Fourth Proportional to 3,674.97, 5,512.46 and 1,594.89

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Solution

The fourth proportional to 3,674.97, 5,512.46 and 1,594.89 is: 2,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.97 : 5,512.46 = 1,594.89 : x
  2. Step 2: Convert to fraction form
    3,674.97/5,512.46 = 1,594.89/x
  3. Step 3: Cross multiply
    3,674.97x = 5,512.46 × 1,594.89
  4. Step 4: Simplify right side
    3,674.97x = 8,791,759.35
  5. Step 5: Solve for x
    x = 8,791,759.35/3,674.97
  6. Step 6: Final answer
    x = 2,392.34

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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.