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Finding the Fourth Proportional to 3,485.56, 5,224.69 and 1,293.30

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Solution

The fourth proportional to 3,485.56, 5,224.69 and 1,293.30 is: 1,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.56 : 5,224.69 = 1,293.30 : x
  2. Step 2: Convert to fraction form
    3,485.56/5,224.69 = 1,293.30/x
  3. Step 3: Cross multiply
    3,485.56x = 5,224.69 × 1,293.30
  4. Step 4: Simplify right side
    3,485.56x = 6,757,091.58
  5. Step 5: Solve for x
    x = 6,757,091.58/3,485.56
  6. Step 6: Final answer
    x = 1,938.60

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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.