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Finding the Fourth Proportional to 3,638.57, 5,458.37 and 1,172.57

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Solution

The fourth proportional to 3,638.57, 5,458.37 and 1,172.57 is: 1,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.57 : 5,458.37 = 1,172.57 : x
  2. Step 2: Convert to fraction form
    3,638.57/5,458.37 = 1,172.57/x
  3. Step 3: Cross multiply
    3,638.57x = 5,458.37 × 1,172.57
  4. Step 4: Simplify right side
    3,638.57x = 6,400,287.76
  5. Step 5: Solve for x
    x = 6,400,287.76/3,638.57
  6. Step 6: Final answer
    x = 1,759.01

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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.