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Finding the Fourth Proportional to 6,227.40, 8,584.76 and 4,455.96

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Solution

The fourth proportional to 6,227.40, 8,584.76 and 4,455.96 is: 6,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.40 : 8,584.76 = 4,455.96 : x
  2. Step 2: Convert to fraction form
    6,227.40/8,584.76 = 4,455.96/x
  3. Step 3: Cross multiply
    6,227.40x = 8,584.76 × 4,455.96
  4. Step 4: Simplify right side
    6,227.40x = 38,253,347.17
  5. Step 5: Solve for x
    x = 38,253,347.17/6,227.40
  6. Step 6: Final answer
    x = 6,142.75

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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.