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Finding the Fourth Proportional to 3,573, 4,930.74 and 2,001.09

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Solution

The fourth proportional to 3,573, 4,930.74 and 2,001.09 is: 2,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573 : 4,930.74 = 2,001.09 : x
  2. Step 2: Convert to fraction form
    3,573/4,930.74 = 2,001.09/x
  3. Step 3: Cross multiply
    3,573x = 4,930.74 × 2,001.09
  4. Step 4: Simplify right side
    3,573x = 9,866,854.51
  5. Step 5: Solve for x
    x = 9,866,854.51/3,573
  6. Step 6: Final answer
    x = 2,761.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.