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Finding the Fourth Proportional to 3,448.53, 5,171.94 and 1,597.88

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Solution

The fourth proportional to 3,448.53, 5,171.94 and 1,597.88 is: 2,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.53 : 5,171.94 = 1,597.88 : x
  2. Step 2: Convert to fraction form
    3,448.53/5,171.94 = 1,597.88/x
  3. Step 3: Cross multiply
    3,448.53x = 5,171.94 × 1,597.88
  4. Step 4: Simplify right side
    3,448.53x = 8,264,113.63
  5. Step 5: Solve for x
    x = 8,264,113.63/3,448.53
  6. Step 6: Final answer
    x = 2,396.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.