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Finding the Fourth Proportional to 3,537.65, 5,305.98 and 1,959.28

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Solution

The fourth proportional to 3,537.65, 5,305.98 and 1,959.28 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.65 : 5,305.98 = 1,959.28 : x
  2. Step 2: Convert to fraction form
    3,537.65/5,305.98 = 1,959.28/x
  3. Step 3: Cross multiply
    3,537.65x = 5,305.98 × 1,959.28
  4. Step 4: Simplify right side
    3,537.65x = 10,395,900.49
  5. Step 5: Solve for x
    x = 10,395,900.49/3,537.65
  6. Step 6: Final answer
    x = 2,938.65

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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.