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Finding the Fourth Proportional to 4,156.54, 6,232.64 and 3,682.82

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Solution

The fourth proportional to 4,156.54, 6,232.64 and 3,682.82 is: 5,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.54 : 6,232.64 = 3,682.82 : x
  2. Step 2: Convert to fraction form
    4,156.54/6,232.64 = 3,682.82/x
  3. Step 3: Cross multiply
    4,156.54x = 6,232.64 × 3,682.82
  4. Step 4: Simplify right side
    4,156.54x = 22,953,688.41
  5. Step 5: Solve for x
    x = 22,953,688.41/4,156.54
  6. Step 6: Final answer
    x = 5,522.31

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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.