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Finding the Fourth Proportional to 6,411.45, 8,846.24 and 3,758.34

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Solution

The fourth proportional to 6,411.45, 8,846.24 and 3,758.34 is: 5,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.45 : 8,846.24 = 3,758.34 : x
  2. Step 2: Convert to fraction form
    6,411.45/8,846.24 = 3,758.34/x
  3. Step 3: Cross multiply
    6,411.45x = 8,846.24 × 3,758.34
  4. Step 4: Simplify right side
    6,411.45x = 33,247,179.41
  5. Step 5: Solve for x
    x = 33,247,179.41/6,411.45
  6. Step 6: Final answer
    x = 5,185.60

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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.