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Finding the Fourth Proportional to 7,540.97, 11,290.46 and 3,835.22

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Solution

The fourth proportional to 7,540.97, 11,290.46 and 3,835.22 is: 5,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.97 : 11,290.46 = 3,835.22 : x
  2. Step 2: Convert to fraction form
    7,540.97/11,290.46 = 3,835.22/x
  3. Step 3: Cross multiply
    7,540.97x = 11,290.46 × 3,835.22
  4. Step 4: Simplify right side
    7,540.97x = 43,301,322.37
  5. Step 5: Solve for x
    x = 43,301,322.37/7,540.97
  6. Step 6: Final answer
    x = 5,742.15

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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.