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Finding the Fourth Proportional to 5,628.41, 7,766.76 and 3,270.71

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Solution

The fourth proportional to 5,628.41, 7,766.76 and 3,270.71 is: 4,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.41 : 7,766.76 = 3,270.71 : x
  2. Step 2: Convert to fraction form
    5,628.41/7,766.76 = 3,270.71/x
  3. Step 3: Cross multiply
    5,628.41x = 7,766.76 × 3,270.71
  4. Step 4: Simplify right side
    5,628.41x = 25,402,819.60
  5. Step 5: Solve for x
    x = 25,402,819.60/5,628.41
  6. Step 6: Final answer
    x = 4,513.32

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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.