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Finding the Fourth Proportional to 3,450.04, 5,174.52 and 1,258.48

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Solution

The fourth proportional to 3,450.04, 5,174.52 and 1,258.48 is: 1,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.04 : 5,174.52 = 1,258.48 : x
  2. Step 2: Convert to fraction form
    3,450.04/5,174.52 = 1,258.48/x
  3. Step 3: Cross multiply
    3,450.04x = 5,174.52 × 1,258.48
  4. Step 4: Simplify right side
    3,450.04x = 6,512,029.93
  5. Step 5: Solve for x
    x = 6,512,029.93/3,450.04
  6. Step 6: Final answer
    x = 1,887.52

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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.