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Finding the Fourth Proportional to 4,819.76, 6,647.22 and 3,823.46

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Solution

The fourth proportional to 4,819.76, 6,647.22 and 3,823.46 is: 5,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.76 : 6,647.22 = 3,823.46 : x
  2. Step 2: Convert to fraction form
    4,819.76/6,647.22 = 3,823.46/x
  3. Step 3: Cross multiply
    4,819.76x = 6,647.22 × 3,823.46
  4. Step 4: Simplify right side
    4,819.76x = 25,415,346.55
  5. Step 5: Solve for x
    x = 25,415,346.55/4,819.76
  6. Step 6: Final answer
    x = 5,273.16

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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.