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Finding the Fourth Proportional to 5,441.85, 7,509.69 and 3,084.08

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Solution

The fourth proportional to 5,441.85, 7,509.69 and 3,084.08 is: 4,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.85 : 7,509.69 = 3,084.08 : x
  2. Step 2: Convert to fraction form
    5,441.85/7,509.69 = 3,084.08/x
  3. Step 3: Cross multiply
    5,441.85x = 7,509.69 × 3,084.08
  4. Step 4: Simplify right side
    5,441.85x = 23,160,447.19
  5. Step 5: Solve for x
    x = 23,160,447.19/5,441.85
  6. Step 6: Final answer
    x = 4,255.99

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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.