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Finding the Fourth Proportional to 5,201.97, 7,802.96 and 1,306.37

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Solution

The fourth proportional to 5,201.97, 7,802.96 and 1,306.37 is: 1,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.97 : 7,802.96 = 1,306.37 : x
  2. Step 2: Convert to fraction form
    5,201.97/7,802.96 = 1,306.37/x
  3. Step 3: Cross multiply
    5,201.97x = 7,802.96 × 1,306.37
  4. Step 4: Simplify right side
    5,201.97x = 10,193,507.31
  5. Step 5: Solve for x
    x = 10,193,507.31/5,201.97
  6. Step 6: Final answer
    x = 1,959.55

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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.