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Finding the Fourth Proportional to 3,485.59, 5,224.71 and 1,144.98

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Solution

The fourth proportional to 3,485.59, 5,224.71 and 1,144.98 is: 1,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.59 : 5,224.71 = 1,144.98 : x
  2. Step 2: Convert to fraction form
    3,485.59/5,224.71 = 1,144.98/x
  3. Step 3: Cross multiply
    3,485.59x = 5,224.71 × 1,144.98
  4. Step 4: Simplify right side
    3,485.59x = 5,982,192.75
  5. Step 5: Solve for x
    x = 5,982,192.75/3,485.59
  6. Step 6: Final answer
    x = 1,716.27

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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.