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Finding the Fourth Proportional to 6,194.88, 8,537.40 and 4,205.52

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Solution

The fourth proportional to 6,194.88, 8,537.40 and 4,205.52 is: 5,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.88 : 8,537.40 = 4,205.52 : x
  2. Step 2: Convert to fraction form
    6,194.88/8,537.40 = 4,205.52/x
  3. Step 3: Cross multiply
    6,194.88x = 8,537.40 × 4,205.52
  4. Step 4: Simplify right side
    6,194.88x = 35,904,206.45
  5. Step 5: Solve for x
    x = 35,904,206.45/6,194.88
  6. Step 6: Final answer
    x = 5,795.79

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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.