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Finding the Fourth Proportional to 5,205.96, 7,800.86 and 3,252.28

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Solution

The fourth proportional to 5,205.96, 7,800.86 and 3,252.28 is: 4,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.96 : 7,800.86 = 3,252.28 : x
  2. Step 2: Convert to fraction form
    5,205.96/7,800.86 = 3,252.28/x
  3. Step 3: Cross multiply
    5,205.96x = 7,800.86 × 3,252.28
  4. Step 4: Simplify right side
    5,205.96x = 25,370,580.96
  5. Step 5: Solve for x
    x = 25,370,580.96/5,205.96
  6. Step 6: Final answer
    x = 4,873.37

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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.