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Finding the Fourth Proportional to 5,627.94, 7,766.56 and 3,270.23

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Solution

The fourth proportional to 5,627.94, 7,766.56 and 3,270.23 is: 4,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.94 : 7,766.56 = 3,270.23 : x
  2. Step 2: Convert to fraction form
    5,627.94/7,766.56 = 3,270.23/x
  3. Step 3: Cross multiply
    5,627.94x = 7,766.56 × 3,270.23
  4. Step 4: Simplify right side
    5,627.94x = 25,398,437.51
  5. Step 5: Solve for x
    x = 25,398,437.51/5,627.94
  6. Step 6: Final answer
    x = 4,512.92

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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.