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Finding the Fourth Proportional to 6,302.21, 8,696.97 and 3,650.47

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Solution

The fourth proportional to 6,302.21, 8,696.97 and 3,650.47 is: 5,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.21 : 8,696.97 = 3,650.47 : x
  2. Step 2: Convert to fraction form
    6,302.21/8,696.97 = 3,650.47/x
  3. Step 3: Cross multiply
    6,302.21x = 8,696.97 × 3,650.47
  4. Step 4: Simplify right side
    6,302.21x = 31,748,006.33
  5. Step 5: Solve for x
    x = 31,748,006.33/6,302.21
  6. Step 6: Final answer
    x = 5,037.60

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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.