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Finding the Fourth Proportional to 5,357.44, 8,033.28 and 1,846.40

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Solution

The fourth proportional to 5,357.44, 8,033.28 and 1,846.40 is: 2,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.44 : 8,033.28 = 1,846.40 : x
  2. Step 2: Convert to fraction form
    5,357.44/8,033.28 = 1,846.40/x
  3. Step 3: Cross multiply
    5,357.44x = 8,033.28 × 1,846.40
  4. Step 4: Simplify right side
    5,357.44x = 14,832,648.19
  5. Step 5: Solve for x
    x = 14,832,648.19/5,357.44
  6. Step 6: Final answer
    x = 2,768.61

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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.