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Finding the Fourth Proportional to 5,826.42, 8,736.48 and 3,046.41

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Solution

The fourth proportional to 5,826.42, 8,736.48 and 3,046.41 is: 4,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.42 : 8,736.48 = 3,046.41 : x
  2. Step 2: Convert to fraction form
    5,826.42/8,736.48 = 3,046.41/x
  3. Step 3: Cross multiply
    5,826.42x = 8,736.48 × 3,046.41
  4. Step 4: Simplify right side
    5,826.42x = 26,614,900.04
  5. Step 5: Solve for x
    x = 26,614,900.04/5,826.42
  6. Step 6: Final answer
    x = 4,567.97

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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.