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Finding the Fourth Proportional to 4,824.74, 6,651.96 and 3,828.30

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Solution

The fourth proportional to 4,824.74, 6,651.96 and 3,828.30 is: 5,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.74 : 6,651.96 = 3,828.30 : x
  2. Step 2: Convert to fraction form
    4,824.74/6,651.96 = 3,828.30/x
  3. Step 3: Cross multiply
    4,824.74x = 6,651.96 × 3,828.30
  4. Step 4: Simplify right side
    4,824.74x = 25,465,698.47
  5. Step 5: Solve for x
    x = 25,465,698.47/4,824.74
  6. Step 6: Final answer
    x = 5,278.15

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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.