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Finding the Fourth Proportional to 5,438.64, 8,153.46 and 4,511.64

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Solution

The fourth proportional to 5,438.64, 8,153.46 and 4,511.64 is: 6,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.64 : 8,153.46 = 4,511.64 : x
  2. Step 2: Convert to fraction form
    5,438.64/8,153.46 = 4,511.64/x
  3. Step 3: Cross multiply
    5,438.64x = 8,153.46 × 4,511.64
  4. Step 4: Simplify right side
    5,438.64x = 36,785,476.27
  5. Step 5: Solve for x
    x = 36,785,476.27/5,438.64
  6. Step 6: Final answer
    x = 6,763.73

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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.