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Finding the Fourth Proportional to 4,131.52, 6,198.08 and 1,823.04

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Solution

The fourth proportional to 4,131.52, 6,198.08 and 1,823.04 is: 2,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.52 : 6,198.08 = 1,823.04 : x
  2. Step 2: Convert to fraction form
    4,131.52/6,198.08 = 1,823.04/x
  3. Step 3: Cross multiply
    4,131.52x = 6,198.08 × 1,823.04
  4. Step 4: Simplify right side
    4,131.52x = 11,299,347.76
  5. Step 5: Solve for x
    x = 11,299,347.76/4,131.52
  6. Step 6: Final answer
    x = 2,734.91

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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.