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Finding the Fourth Proportional to 5,182.62, 7,152 and 2,824.76

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Solution

The fourth proportional to 5,182.62, 7,152 and 2,824.76 is: 3,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.62 : 7,152 = 2,824.76 : x
  2. Step 2: Convert to fraction form
    5,182.62/7,152 = 2,824.76/x
  3. Step 3: Cross multiply
    5,182.62x = 7,152 × 2,824.76
  4. Step 4: Simplify right side
    5,182.62x = 20,202,647.76
  5. Step 5: Solve for x
    x = 20,202,647.76/5,182.62
  6. Step 6: Final answer
    x = 3,898.15

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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.