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Finding the Fourth Proportional to 5,735.59, 7,906.73 and 4,054.03

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Solution

The fourth proportional to 5,735.59, 7,906.73 and 4,054.03 is: 5,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.59 : 7,906.73 = 4,054.03 : x
  2. Step 2: Convert to fraction form
    5,735.59/7,906.73 = 4,054.03/x
  3. Step 3: Cross multiply
    5,735.59x = 7,906.73 × 4,054.03
  4. Step 4: Simplify right side
    5,735.59x = 32,054,110.99
  5. Step 5: Solve for x
    x = 32,054,110.99/5,735.59
  6. Step 6: Final answer
    x = 5,588.64

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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.