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Finding the Fourth Proportional to 3,467.88, 5,203.17 and 1,518.71

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Solution

The fourth proportional to 3,467.88, 5,203.17 and 1,518.71 is: 2,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.88 : 5,203.17 = 1,518.71 : x
  2. Step 2: Convert to fraction form
    3,467.88/5,203.17 = 1,518.71/x
  3. Step 3: Cross multiply
    3,467.88x = 5,203.17 × 1,518.71
  4. Step 4: Simplify right side
    3,467.88x = 7,902,080.29
  5. Step 5: Solve for x
    x = 7,902,080.29/3,467.88
  6. Step 6: Final answer
    x = 2,278.65

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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.