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Finding the Fourth Proportional to 3,485.44, 5,224.86 and 1,292.68

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Solution

The fourth proportional to 3,485.44, 5,224.86 and 1,292.68 is: 1,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.44 : 5,224.86 = 1,292.68 : x
  2. Step 2: Convert to fraction form
    3,485.44/5,224.86 = 1,292.68/x
  3. Step 3: Cross multiply
    3,485.44x = 5,224.86 × 1,292.68
  4. Step 4: Simplify right side
    3,485.44x = 6,754,072.02
  5. Step 5: Solve for x
    x = 6,754,072.02/3,485.44
  6. Step 6: Final answer
    x = 1,937.80

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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.