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Finding the Fourth Proportional to 5,449.68, 8,171.64 and 2,370

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Solution

The fourth proportional to 5,449.68, 8,171.64 and 2,370 is: 3,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.68 : 8,171.64 = 2,370 : x
  2. Step 2: Convert to fraction form
    5,449.68/8,171.64 = 2,370/x
  3. Step 3: Cross multiply
    5,449.68x = 8,171.64 × 2,370
  4. Step 4: Simplify right side
    5,449.68x = 19,366,786.80
  5. Step 5: Solve for x
    x = 19,366,786.80/5,449.68
  6. Step 6: Final answer
    x = 3,553.75

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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.