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Finding the Fourth Proportional to 5,938.70, 8,905.34 and 3,164.66

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Solution

The fourth proportional to 5,938.70, 8,905.34 and 3,164.66 is: 4,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.70 : 8,905.34 = 3,164.66 : x
  2. Step 2: Convert to fraction form
    5,938.70/8,905.34 = 3,164.66/x
  3. Step 3: Cross multiply
    5,938.70x = 8,905.34 × 3,164.66
  4. Step 4: Simplify right side
    5,938.70x = 28,182,373.28
  5. Step 5: Solve for x
    x = 28,182,373.28/5,938.70
  6. Step 6: Final answer
    x = 4,745.55

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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.