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Finding the Fourth Proportional to 5,605.49, 7,735.46 and 3,087.47

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Solution

The fourth proportional to 5,605.49, 7,735.46 and 3,087.47 is: 4,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.49 : 7,735.46 = 3,087.47 : x
  2. Step 2: Convert to fraction form
    5,605.49/7,735.46 = 3,087.47/x
  3. Step 3: Cross multiply
    5,605.49x = 7,735.46 × 3,087.47
  4. Step 4: Simplify right side
    5,605.49x = 23,882,946.57
  5. Step 5: Solve for x
    x = 23,882,946.57/5,605.49
  6. Step 6: Final answer
    x = 4,260.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.