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Finding the Fourth Proportional to 3,750.29, 5,174.68 and 2,258.31

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Solution

The fourth proportional to 3,750.29, 5,174.68 and 2,258.31 is: 3,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.29 : 5,174.68 = 2,258.31 : x
  2. Step 2: Convert to fraction form
    3,750.29/5,174.68 = 2,258.31/x
  3. Step 3: Cross multiply
    3,750.29x = 5,174.68 × 2,258.31
  4. Step 4: Simplify right side
    3,750.29x = 11,685,999.57
  5. Step 5: Solve for x
    x = 11,685,999.57/3,750.29
  6. Step 6: Final answer
    x = 3,116.02

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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.