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Finding the Fourth Proportional to 5,644.46, 8,455.76 and 3,171.74

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Solution

The fourth proportional to 5,644.46, 8,455.76 and 3,171.74 is: 4,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.46 : 8,455.76 = 3,171.74 : x
  2. Step 2: Convert to fraction form
    5,644.46/8,455.76 = 3,171.74/x
  3. Step 3: Cross multiply
    5,644.46x = 8,455.76 × 3,171.74
  4. Step 4: Simplify right side
    5,644.46x = 26,819,472.22
  5. Step 5: Solve for x
    x = 26,819,472.22/5,644.46
  6. Step 6: Final answer
    x = 4,751.47

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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.