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Finding the Fourth Proportional to 3,927.65, 5,415.10 and 3,216.87

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Solution

The fourth proportional to 3,927.65, 5,415.10 and 3,216.87 is: 4,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.65 : 5,415.10 = 3,216.87 : x
  2. Step 2: Convert to fraction form
    3,927.65/5,415.10 = 3,216.87/x
  3. Step 3: Cross multiply
    3,927.65x = 5,415.10 × 3,216.87
  4. Step 4: Simplify right side
    3,927.65x = 17,419,664.69
  5. Step 5: Solve for x
    x = 17,419,664.69/3,927.65
  6. Step 6: Final answer
    x = 4,435.14

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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.