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Finding the Fourth Proportional to 6,198.52, 8,557.70 and 4,077.40

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Solution

The fourth proportional to 6,198.52, 8,557.70 and 4,077.40 is: 5,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.52 : 8,557.70 = 4,077.40 : x
  2. Step 2: Convert to fraction form
    6,198.52/8,557.70 = 4,077.40/x
  3. Step 3: Cross multiply
    6,198.52x = 8,557.70 × 4,077.40
  4. Step 4: Simplify right side
    6,198.52x = 34,893,165.98
  5. Step 5: Solve for x
    x = 34,893,165.98/6,198.52
  6. Step 6: Final answer
    x = 5,629.27

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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.