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Finding the Fourth Proportional to 5,205.28, 7,180.88 and 2,996

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Solution

The fourth proportional to 5,205.28, 7,180.88 and 2,996 is: 4,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.28 : 7,180.88 = 2,996 : x
  2. Step 2: Convert to fraction form
    5,205.28/7,180.88 = 2,996/x
  3. Step 3: Cross multiply
    5,205.28x = 7,180.88 × 2,996
  4. Step 4: Simplify right side
    5,205.28x = 21,513,916.48
  5. Step 5: Solve for x
    x = 21,513,916.48/5,205.28
  6. Step 6: Final answer
    x = 4,133.09

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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.