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Finding the Fourth Proportional to 6,084.90, 9,131.40 and 3,452.40

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Solution

The fourth proportional to 6,084.90, 9,131.40 and 3,452.40 is: 5,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.90 : 9,131.40 = 3,452.40 : x
  2. Step 2: Convert to fraction form
    6,084.90/9,131.40 = 3,452.40/x
  3. Step 3: Cross multiply
    6,084.90x = 9,131.40 × 3,452.40
  4. Step 4: Simplify right side
    6,084.90x = 31,525,245.36
  5. Step 5: Solve for x
    x = 31,525,245.36/6,084.90
  6. Step 6: Final answer
    x = 5,180.90

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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.