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Finding the Fourth Proportional to 5,411, 8,100.04 and 3,464.56

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Solution

The fourth proportional to 5,411, 8,100.04 and 3,464.56 is: 5,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411 : 8,100.04 = 3,464.56 : x
  2. Step 2: Convert to fraction form
    5,411/8,100.04 = 3,464.56/x
  3. Step 3: Cross multiply
    5,411x = 8,100.04 × 3,464.56
  4. Step 4: Simplify right side
    5,411x = 28,063,074.58
  5. Step 5: Solve for x
    x = 28,063,074.58/5,411
  6. Step 6: Final answer
    x = 5,186.30

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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.