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Finding the Fourth Proportional to 5,741.17, 7,922.21 and 3,223.56

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Solution

The fourth proportional to 5,741.17, 7,922.21 and 3,223.56 is: 4,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.17 : 7,922.21 = 3,223.56 : x
  2. Step 2: Convert to fraction form
    5,741.17/7,922.21 = 3,223.56/x
  3. Step 3: Cross multiply
    5,741.17x = 7,922.21 × 3,223.56
  4. Step 4: Simplify right side
    5,741.17x = 25,537,694.34
  5. Step 5: Solve for x
    x = 25,537,694.34/5,741.17
  6. Step 6: Final answer
    x = 4,448.17

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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.