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Finding the Fourth Proportional to 5,730.57, 7,905.33 and 4,943.25

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Solution

The fourth proportional to 5,730.57, 7,905.33 and 4,943.25 is: 6,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.57 : 7,905.33 = 4,943.25 : x
  2. Step 2: Convert to fraction form
    5,730.57/7,905.33 = 4,943.25/x
  3. Step 3: Cross multiply
    5,730.57x = 7,905.33 × 4,943.25
  4. Step 4: Simplify right side
    5,730.57x = 39,078,022.52
  5. Step 5: Solve for x
    x = 39,078,022.52/5,730.57
  6. Step 6: Final answer
    x = 6,819.22

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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.