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Finding the Fourth Proportional to 6,303.24, 8,696.82 and 3,649.05

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Solution

The fourth proportional to 6,303.24, 8,696.82 and 3,649.05 is: 5,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.24 : 8,696.82 = 3,649.05 : x
  2. Step 2: Convert to fraction form
    6,303.24/8,696.82 = 3,649.05/x
  3. Step 3: Cross multiply
    6,303.24x = 8,696.82 × 3,649.05
  4. Step 4: Simplify right side
    6,303.24x = 31,735,131.02
  5. Step 5: Solve for x
    x = 31,735,131.02/6,303.24
  6. Step 6: Final answer
    x = 5,034.73

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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.