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Finding the Fourth Proportional to 6,185.60, 9,280.75 and 3,722.12

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Solution

The fourth proportional to 6,185.60, 9,280.75 and 3,722.12 is: 5,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.60 : 9,280.75 = 3,722.12 : x
  2. Step 2: Convert to fraction form
    6,185.60/9,280.75 = 3,722.12/x
  3. Step 3: Cross multiply
    6,185.60x = 9,280.75 × 3,722.12
  4. Step 4: Simplify right side
    6,185.60x = 34,544,065.19
  5. Step 5: Solve for x
    x = 34,544,065.19/6,185.60
  6. Step 6: Final answer
    x = 5,584.59

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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.