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Finding the Fourth Proportional to 3,693.51, 5,542.89 and 2,051.37

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Solution

The fourth proportional to 3,693.51, 5,542.89 and 2,051.37 is: 3,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.51 : 5,542.89 = 2,051.37 : x
  2. Step 2: Convert to fraction form
    3,693.51/5,542.89 = 2,051.37/x
  3. Step 3: Cross multiply
    3,693.51x = 5,542.89 × 2,051.37
  4. Step 4: Simplify right side
    3,693.51x = 11,370,518.26
  5. Step 5: Solve for x
    x = 11,370,518.26/3,693.51
  6. Step 6: Final answer
    x = 3,078.51

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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.