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Finding the Fourth Proportional to 3,497.14, 5,245.67 and 1,647.24

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Solution

The fourth proportional to 3,497.14, 5,245.67 and 1,647.24 is: 2,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.14 : 5,245.67 = 1,647.24 : x
  2. Step 2: Convert to fraction form
    3,497.14/5,245.67 = 1,647.24/x
  3. Step 3: Cross multiply
    3,497.14x = 5,245.67 × 1,647.24
  4. Step 4: Simplify right side
    3,497.14x = 8,640,877.45
  5. Step 5: Solve for x
    x = 8,640,877.45/3,497.14
  6. Step 6: Final answer
    x = 2,470.84

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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.