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Finding the Fourth Proportional to 5,762.04, 7,949.25 and 4,273.62

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Solution

The fourth proportional to 5,762.04, 7,949.25 and 4,273.62 is: 5,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.04 : 7,949.25 = 4,273.62 : x
  2. Step 2: Convert to fraction form
    5,762.04/7,949.25 = 4,273.62/x
  3. Step 3: Cross multiply
    5,762.04x = 7,949.25 × 4,273.62
  4. Step 4: Simplify right side
    5,762.04x = 33,972,073.79
  5. Step 5: Solve for x
    x = 33,972,073.79/5,762.04
  6. Step 6: Final answer
    x = 5,895.84

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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.