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Finding the Fourth Proportional to 3,289.62, 4,539.74 and 1,797.60

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Solution

The fourth proportional to 3,289.62, 4,539.74 and 1,797.60 is: 2,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.62 : 4,539.74 = 1,797.60 : x
  2. Step 2: Convert to fraction form
    3,289.62/4,539.74 = 1,797.60/x
  3. Step 3: Cross multiply
    3,289.62x = 4,539.74 × 1,797.60
  4. Step 4: Simplify right side
    3,289.62x = 8,160,627.64
  5. Step 5: Solve for x
    x = 8,160,627.64/3,289.62
  6. Step 6: Final answer
    x = 2,480.72

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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.