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Finding the Fourth Proportional to 5,605.47, 7,735.24 and 3,087.09

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Solution

The fourth proportional to 5,605.47, 7,735.24 and 3,087.09 is: 4,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.47 : 7,735.24 = 3,087.09 : x
  2. Step 2: Convert to fraction form
    5,605.47/7,735.24 = 3,087.09/x
  3. Step 3: Cross multiply
    5,605.47x = 7,735.24 × 3,087.09
  4. Step 4: Simplify right side
    5,605.47x = 23,879,343.38
  5. Step 5: Solve for x
    x = 23,879,343.38/5,605.47
  6. Step 6: Final answer
    x = 4,260.01

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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.