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Finding the Fourth Proportional to 5,922.70, 8,173.29 and 3,564.34

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Solution

The fourth proportional to 5,922.70, 8,173.29 and 3,564.34 is: 4,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.70 : 8,173.29 = 3,564.34 : x
  2. Step 2: Convert to fraction form
    5,922.70/8,173.29 = 3,564.34/x
  3. Step 3: Cross multiply
    5,922.70x = 8,173.29 × 3,564.34
  4. Step 4: Simplify right side
    5,922.70x = 29,132,384.48
  5. Step 5: Solve for x
    x = 29,132,384.48/5,922.70
  6. Step 6: Final answer
    x = 4,918.77

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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.