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Finding the Fourth Proportional to 3,449.54, 5,170.72 and 3,145.07

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Solution

The fourth proportional to 3,449.54, 5,170.72 and 3,145.07 is: 4,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.54 : 5,170.72 = 3,145.07 : x
  2. Step 2: Convert to fraction form
    3,449.54/5,170.72 = 3,145.07/x
  3. Step 3: Cross multiply
    3,449.54x = 5,170.72 × 3,145.07
  4. Step 4: Simplify right side
    3,449.54x = 16,262,244.32
  5. Step 5: Solve for x
    x = 16,262,244.32/3,449.54
  6. Step 6: Final answer
    x = 4,714.33

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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.