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Finding the Fourth Proportional to 5,789.22, 7,988.85 and 3,430.98

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Solution

The fourth proportional to 5,789.22, 7,988.85 and 3,430.98 is: 4,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.22 : 7,988.85 = 3,430.98 : x
  2. Step 2: Convert to fraction form
    5,789.22/7,988.85 = 3,430.98/x
  3. Step 3: Cross multiply
    5,789.22x = 7,988.85 × 3,430.98
  4. Step 4: Simplify right side
    5,789.22x = 27,409,584.57
  5. Step 5: Solve for x
    x = 27,409,584.57/5,789.22
  6. Step 6: Final answer
    x = 4,734.59

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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.