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Finding the Fourth Proportional to 5,182.75, 7,152.21 and 2,824.84

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Solution

The fourth proportional to 5,182.75, 7,152.21 and 2,824.84 is: 3,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.75 : 7,152.21 = 2,824.84 : x
  2. Step 2: Convert to fraction form
    5,182.75/7,152.21 = 2,824.84/x
  3. Step 3: Cross multiply
    5,182.75x = 7,152.21 × 2,824.84
  4. Step 4: Simplify right side
    5,182.75x = 20,203,848.90
  5. Step 5: Solve for x
    x = 20,203,848.90/5,182.75
  6. Step 6: Final answer
    x = 3,898.29

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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.