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Finding the Fourth Proportional to 5,100.94, 7,645.47 and 2,176.48

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Solution

The fourth proportional to 5,100.94, 7,645.47 and 2,176.48 is: 3,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.94 : 7,645.47 = 2,176.48 : x
  2. Step 2: Convert to fraction form
    5,100.94/7,645.47 = 2,176.48/x
  3. Step 3: Cross multiply
    5,100.94x = 7,645.47 × 2,176.48
  4. Step 4: Simplify right side
    5,100.94x = 16,640,212.55
  5. Step 5: Solve for x
    x = 16,640,212.55/5,100.94
  6. Step 6: Final answer
    x = 3,262.19

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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.