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Finding the Fourth Proportional to 3,559.90, 5,334.60 and 3,170.64

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Solution

The fourth proportional to 3,559.90, 5,334.60 and 3,170.64 is: 4,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.90 : 5,334.60 = 3,170.64 : x
  2. Step 2: Convert to fraction form
    3,559.90/5,334.60 = 3,170.64/x
  3. Step 3: Cross multiply
    3,559.90x = 5,334.60 × 3,170.64
  4. Step 4: Simplify right side
    3,559.90x = 16,914,096.14
  5. Step 5: Solve for x
    x = 16,914,096.14/3,559.90
  6. Step 6: Final answer
    x = 4,751.28

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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.