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Finding the Fourth Proportional to 5,584.14, 7,707.51 and 3,227.76

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Solution

The fourth proportional to 5,584.14, 7,707.51 and 3,227.76 is: 4,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.14 : 7,707.51 = 3,227.76 : x
  2. Step 2: Convert to fraction form
    5,584.14/7,707.51 = 3,227.76/x
  3. Step 3: Cross multiply
    5,584.14x = 7,707.51 × 3,227.76
  4. Step 4: Simplify right side
    5,584.14x = 24,877,992.48
  5. Step 5: Solve for x
    x = 24,877,992.48/5,584.14
  6. Step 6: Final answer
    x = 4,455.12

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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.