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Finding the Fourth Proportional to 5,182.64, 7,152 and 2,824.80

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Solution

The fourth proportional to 5,182.64, 7,152 and 2,824.80 is: 3,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.64 : 7,152 = 2,824.80 : x
  2. Step 2: Convert to fraction form
    5,182.64/7,152 = 2,824.80/x
  3. Step 3: Cross multiply
    5,182.64x = 7,152 × 2,824.80
  4. Step 4: Simplify right side
    5,182.64x = 20,202,969.60
  5. Step 5: Solve for x
    x = 20,202,969.60/5,182.64
  6. Step 6: Final answer
    x = 3,898.20

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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.