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Finding the Fourth Proportional to 5,922.32, 8,173.48 and 3,564.32

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Solution

The fourth proportional to 5,922.32, 8,173.48 and 3,564.32 is: 4,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.32 : 8,173.48 = 3,564.32 : x
  2. Step 2: Convert to fraction form
    5,922.32/8,173.48 = 3,564.32/x
  3. Step 3: Cross multiply
    5,922.32x = 8,173.48 × 3,564.32
  4. Step 4: Simplify right side
    5,922.32x = 29,132,898.23
  5. Step 5: Solve for x
    x = 29,132,898.23/5,922.32
  6. Step 6: Final answer
    x = 4,919.17

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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.