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Finding the Fourth Proportional to 5,441.85, 7,509.72 and 3,084.09

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Solution

The fourth proportional to 5,441.85, 7,509.72 and 3,084.09 is: 4,256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.85 : 7,509.72 = 3,084.09 : x
  2. Step 2: Convert to fraction form
    5,441.85/7,509.72 = 3,084.09/x
  3. Step 3: Cross multiply
    5,441.85x = 7,509.72 × 3,084.09
  4. Step 4: Simplify right side
    5,441.85x = 23,160,652.35
  5. Step 5: Solve for x
    x = 23,160,652.35/5,441.85
  6. Step 6: Final answer
    x = 4,256.03

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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.