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Finding the Fourth Proportional to 5,583.25, 7,705.16 and 3,099.25

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Solution

The fourth proportional to 5,583.25, 7,705.16 and 3,099.25 is: 4,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.25 : 7,705.16 = 3,099.25 : x
  2. Step 2: Convert to fraction form
    5,583.25/7,705.16 = 3,099.25/x
  3. Step 3: Cross multiply
    5,583.25x = 7,705.16 × 3,099.25
  4. Step 4: Simplify right side
    5,583.25x = 23,880,217.13
  5. Step 5: Solve for x
    x = 23,880,217.13/5,583.25
  6. Step 6: Final answer
    x = 4,277.12

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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.