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Finding the Fourth Proportional to 6,301.92, 8,696.28 and 3,649.14

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Solution

The fourth proportional to 6,301.92, 8,696.28 and 3,649.14 is: 5,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.92 : 8,696.28 = 3,649.14 : x
  2. Step 2: Convert to fraction form
    6,301.92/8,696.28 = 3,649.14/x
  3. Step 3: Cross multiply
    6,301.92x = 8,696.28 × 3,649.14
  4. Step 4: Simplify right side
    6,301.92x = 31,733,943.20
  5. Step 5: Solve for x
    x = 31,733,943.20/6,301.92
  6. Step 6: Final answer
    x = 5,035.60

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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.