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Finding the Fourth Proportional to 5,605.00, 7,735.44 and 4,186.22

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Solution

The fourth proportional to 5,605.00, 7,735.44 and 4,186.22 is: 5,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.00 : 7,735.44 = 4,186.22 : x
  2. Step 2: Convert to fraction form
    5,605.00/7,735.44 = 4,186.22/x
  3. Step 3: Cross multiply
    5,605.00x = 7,735.44 × 4,186.22
  4. Step 4: Simplify right side
    5,605.00x = 32,382,292.60
  5. Step 5: Solve for x
    x = 32,382,292.60/5,605.00
  6. Step 6: Final answer
    x = 5,777.39

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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.