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Finding the Fourth Proportional to 3,449.84, 5,171.65 and 1,257.01

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Solution

The fourth proportional to 3,449.84, 5,171.65 and 1,257.01 is: 1,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.84 : 5,171.65 = 1,257.01 : x
  2. Step 2: Convert to fraction form
    3,449.84/5,171.65 = 1,257.01/x
  3. Step 3: Cross multiply
    3,449.84x = 5,171.65 × 1,257.01
  4. Step 4: Simplify right side
    3,449.84x = 6,500,799.69
  5. Step 5: Solve for x
    x = 6,500,799.69/3,449.84
  6. Step 6: Final answer
    x = 1,884.38

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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.