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Finding the Fourth Proportional to 5,182.81, 7,152.14 and 2,824.95

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Solution

The fourth proportional to 5,182.81, 7,152.14 and 2,824.95 is: 3,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.81 : 7,152.14 = 2,824.95 : x
  2. Step 2: Convert to fraction form
    5,182.81/7,152.14 = 2,824.95/x
  3. Step 3: Cross multiply
    5,182.81x = 7,152.14 × 2,824.95
  4. Step 4: Simplify right side
    5,182.81x = 20,204,431.80
  5. Step 5: Solve for x
    x = 20,204,431.80/5,182.81
  6. Step 6: Final answer
    x = 3,898.35

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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.