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Finding the Fourth Proportional to 5,411, 7,467.18 and 2,927

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Solution

The fourth proportional to 5,411, 7,467.18 and 2,927 is: 4,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411 : 7,467.18 = 2,927 : x
  2. Step 2: Convert to fraction form
    5,411/7,467.18 = 2,927/x
  3. Step 3: Cross multiply
    5,411x = 7,467.18 × 2,927
  4. Step 4: Simplify right side
    5,411x = 21,856,435.86
  5. Step 5: Solve for x
    x = 21,856,435.86/5,411
  6. Step 6: Final answer
    x = 4,039.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.