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Finding the Fourth Proportional to 3,458.90, 5,189.65 and 2,073.23

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Solution

The fourth proportional to 3,458.90, 5,189.65 and 2,073.23 is: 3,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.90 : 5,189.65 = 2,073.23 : x
  2. Step 2: Convert to fraction form
    3,458.90/5,189.65 = 2,073.23/x
  3. Step 3: Cross multiply
    3,458.90x = 5,189.65 × 2,073.23
  4. Step 4: Simplify right side
    3,458.90x = 10,759,301.76
  5. Step 5: Solve for x
    x = 10,759,301.76/3,458.90
  6. Step 6: Final answer
    x = 3,110.62

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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.