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Finding the Fourth Proportional to 3,537.30, 5,305.95 and 2,001.30

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Solution

The fourth proportional to 3,537.30, 5,305.95 and 2,001.30 is: 3,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.30 : 5,305.95 = 2,001.30 : x
  2. Step 2: Convert to fraction form
    3,537.30/5,305.95 = 2,001.30/x
  3. Step 3: Cross multiply
    3,537.30x = 5,305.95 × 2,001.30
  4. Step 4: Simplify right side
    3,537.30x = 10,618,797.74
  5. Step 5: Solve for x
    x = 10,618,797.74/3,537.30
  6. Step 6: Final answer
    x = 3,001.95

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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.