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Finding the Fourth Proportional to 5,205.52, 7,836.37 and 4,753.54

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Solution

The fourth proportional to 5,205.52, 7,836.37 and 4,753.54 is: 7,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.52 : 7,836.37 = 4,753.54 : x
  2. Step 2: Convert to fraction form
    5,205.52/7,836.37 = 4,753.54/x
  3. Step 3: Cross multiply
    5,205.52x = 7,836.37 × 4,753.54
  4. Step 4: Simplify right side
    5,205.52x = 37,250,498.25
  5. Step 5: Solve for x
    x = 37,250,498.25/5,205.52
  6. Step 6: Final answer
    x = 7,155.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.