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Finding the Fourth Proportional to 5,201.14, 7,801.68 and 1,305.58

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Solution

The fourth proportional to 5,201.14, 7,801.68 and 1,305.58 is: 1,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.14 : 7,801.68 = 1,305.58 : x
  2. Step 2: Convert to fraction form
    5,201.14/7,801.68 = 1,305.58/x
  3. Step 3: Cross multiply
    5,201.14x = 7,801.68 × 1,305.58
  4. Step 4: Simplify right side
    5,201.14x = 10,185,717.37
  5. Step 5: Solve for x
    x = 10,185,717.37/5,201.14
  6. Step 6: Final answer
    x = 1,958.36

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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.