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Finding the Fourth Proportional to 3,517.37, 5,273.48 and 1,666.32

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Solution

The fourth proportional to 3,517.37, 5,273.48 and 1,666.32 is: 2,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.37 : 5,273.48 = 1,666.32 : x
  2. Step 2: Convert to fraction form
    3,517.37/5,273.48 = 1,666.32/x
  3. Step 3: Cross multiply
    3,517.37x = 5,273.48 × 1,666.32
  4. Step 4: Simplify right side
    3,517.37x = 8,787,314.56
  5. Step 5: Solve for x
    x = 8,787,314.56/3,517.37
  6. Step 6: Final answer
    x = 2,498.26

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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.