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Finding the Fourth Proportional to 4,342.33, 6,513.24 and 3,022.24

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Solution

The fourth proportional to 4,342.33, 6,513.24 and 3,022.24 is: 4,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.33 : 6,513.24 = 3,022.24 : x
  2. Step 2: Convert to fraction form
    4,342.33/6,513.24 = 3,022.24/x
  3. Step 3: Cross multiply
    4,342.33x = 6,513.24 × 3,022.24
  4. Step 4: Simplify right side
    4,342.33x = 19,684,537.90
  5. Step 5: Solve for x
    x = 19,684,537.90/4,342.33
  6. Step 6: Final answer
    x = 4,533.17

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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.