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Finding the Fourth Proportional to 3,420.56, 5,141.54 and 2,258.03

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Solution

The fourth proportional to 3,420.56, 5,141.54 and 2,258.03 is: 3,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.56 : 5,141.54 = 2,258.03 : x
  2. Step 2: Convert to fraction form
    3,420.56/5,141.54 = 2,258.03/x
  3. Step 3: Cross multiply
    3,420.56x = 5,141.54 × 2,258.03
  4. Step 4: Simplify right side
    3,420.56x = 11,609,751.57
  5. Step 5: Solve for x
    x = 11,609,751.57/3,420.56
  6. Step 6: Final answer
    x = 3,394.11

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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.