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Finding the Fourth Proportional to 4,651.92, 6,977.88 and 3,828.45

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Solution

The fourth proportional to 4,651.92, 6,977.88 and 3,828.45 is: 5,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.92 : 6,977.88 = 3,828.45 : x
  2. Step 2: Convert to fraction form
    4,651.92/6,977.88 = 3,828.45/x
  3. Step 3: Cross multiply
    4,651.92x = 6,977.88 × 3,828.45
  4. Step 4: Simplify right side
    4,651.92x = 26,714,464.69
  5. Step 5: Solve for x
    x = 26,714,464.69/4,651.92
  6. Step 6: Final answer
    x = 5,742.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.