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Finding the Fourth Proportional to 6,302.94, 8,698.55 and 3,650.39

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Solution

The fourth proportional to 6,302.94, 8,698.55 and 3,650.39 is: 5,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.94 : 8,698.55 = 3,650.39 : x
  2. Step 2: Convert to fraction form
    6,302.94/8,698.55 = 3,650.39/x
  3. Step 3: Cross multiply
    6,302.94x = 8,698.55 × 3,650.39
  4. Step 4: Simplify right side
    6,302.94x = 31,753,099.93
  5. Step 5: Solve for x
    x = 31,753,099.93/6,302.94
  6. Step 6: Final answer
    x = 5,037.82

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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.