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Finding the Fourth Proportional to 3,685.26, 5,520.60 and 3,138.60

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Solution

The fourth proportional to 3,685.26, 5,520.60 and 3,138.60 is: 4,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.26 : 5,520.60 = 3,138.60 : x
  2. Step 2: Convert to fraction form
    3,685.26/5,520.60 = 3,138.60/x
  3. Step 3: Cross multiply
    3,685.26x = 5,520.60 × 3,138.60
  4. Step 4: Simplify right side
    3,685.26x = 17,326,955.16
  5. Step 5: Solve for x
    x = 17,326,955.16/3,685.26
  6. Step 6: Final answer
    x = 4,701.69

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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.