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Finding the Fourth Proportional to 3,454.01, 5,174.51 and 2,044.25

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Solution

The fourth proportional to 3,454.01, 5,174.51 and 2,044.25 is: 3,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.01 : 5,174.51 = 2,044.25 : x
  2. Step 2: Convert to fraction form
    3,454.01/5,174.51 = 2,044.25/x
  3. Step 3: Cross multiply
    3,454.01x = 5,174.51 × 2,044.25
  4. Step 4: Simplify right side
    3,454.01x = 10,577,971.31
  5. Step 5: Solve for x
    x = 10,577,971.31/3,454.01
  6. Step 6: Final answer
    x = 3,062.52

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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.