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Finding the Fourth Proportional to 9,051.75, 13,578.84 and 3,858.84

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Solution

The fourth proportional to 9,051.75, 13,578.84 and 3,858.84 is: 5,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 13,578.84 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    9,051.75/13,578.84 = 3,858.84/x
  3. Step 3: Cross multiply
    9,051.75x = 13,578.84 × 3,858.84
  4. Step 4: Simplify right side
    9,051.75x = 52,398,570.95
  5. Step 5: Solve for x
    x = 52,398,570.95/9,051.75
  6. Step 6: Final answer
    x = 5,788.78

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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.