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Finding the Fourth Proportional to 5,730.89, 7,909.07 and 3,213.23

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Solution

The fourth proportional to 5,730.89, 7,909.07 and 3,213.23 is: 4,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.89 : 7,909.07 = 3,213.23 : x
  2. Step 2: Convert to fraction form
    5,730.89/7,909.07 = 3,213.23/x
  3. Step 3: Cross multiply
    5,730.89x = 7,909.07 × 3,213.23
  4. Step 4: Simplify right side
    5,730.89x = 25,413,661.00
  5. Step 5: Solve for x
    x = 25,413,661.00/5,730.89
  6. Step 6: Final answer
    x = 4,434.51

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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.