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Finding the Fourth Proportional to 5,181.40, 7,763.46 and 3,639.64

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Solution

The fourth proportional to 5,181.40, 7,763.46 and 3,639.64 is: 5,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.40 : 7,763.46 = 3,639.64 : x
  2. Step 2: Convert to fraction form
    5,181.40/7,763.46 = 3,639.64/x
  3. Step 3: Cross multiply
    5,181.40x = 7,763.46 × 3,639.64
  4. Step 4: Simplify right side
    5,181.40x = 28,256,199.55
  5. Step 5: Solve for x
    x = 28,256,199.55/5,181.40
  6. Step 6: Final answer
    x = 5,453.39

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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.