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Finding the Fourth Proportional to 6,936.49, 10,405.64 and 3,649.74

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Solution

The fourth proportional to 6,936.49, 10,405.64 and 3,649.74 is: 5,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.49 : 10,405.64 = 3,649.74 : x
  2. Step 2: Convert to fraction form
    6,936.49/10,405.64 = 3,649.74/x
  3. Step 3: Cross multiply
    6,936.49x = 10,405.64 × 3,649.74
  4. Step 4: Simplify right side
    6,936.49x = 37,977,880.53
  5. Step 5: Solve for x
    x = 37,977,880.53/6,936.49
  6. Step 6: Final answer
    x = 5,475.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.