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Finding the Fourth Proportional to 3,523.14, 5,284.44 and 1,671.48

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Solution

The fourth proportional to 3,523.14, 5,284.44 and 1,671.48 is: 2,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.14 : 5,284.44 = 1,671.48 : x
  2. Step 2: Convert to fraction form
    3,523.14/5,284.44 = 1,671.48/x
  3. Step 3: Cross multiply
    3,523.14x = 5,284.44 × 1,671.48
  4. Step 4: Simplify right side
    3,523.14x = 8,832,835.77
  5. Step 5: Solve for x
    x = 8,832,835.77/3,523.14
  6. Step 6: Final answer
    x = 2,507.09

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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.