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Finding the Fourth Proportional to 6,235.05, 8,604.86 and 3,583.38

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Solution

The fourth proportional to 6,235.05, 8,604.86 and 3,583.38 is: 4,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.05 : 8,604.86 = 3,583.38 : x
  2. Step 2: Convert to fraction form
    6,235.05/8,604.86 = 3,583.38/x
  3. Step 3: Cross multiply
    6,235.05x = 8,604.86 × 3,583.38
  4. Step 4: Simplify right side
    6,235.05x = 30,834,465.31
  5. Step 5: Solve for x
    x = 30,834,465.31/6,235.05
  6. Step 6: Final answer
    x = 4,945.34

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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.