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Finding the Fourth Proportional to 3,746.58, 5,172.03 and 2,174.37

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Solution

The fourth proportional to 3,746.58, 5,172.03 and 2,174.37 is: 3,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.58 : 5,172.03 = 2,174.37 : x
  2. Step 2: Convert to fraction form
    3,746.58/5,172.03 = 2,174.37/x
  3. Step 3: Cross multiply
    3,746.58x = 5,172.03 × 2,174.37
  4. Step 4: Simplify right side
    3,746.58x = 11,245,906.87
  5. Step 5: Solve for x
    x = 11,245,906.87/3,746.58
  6. Step 6: Final answer
    x = 3,001.65

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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.