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Finding the Fourth Proportional to 5,724.33, 7,892.62 and 4,448.58

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Solution

The fourth proportional to 5,724.33, 7,892.62 and 4,448.58 is: 6,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.33 : 7,892.62 = 4,448.58 : x
  2. Step 2: Convert to fraction form
    5,724.33/7,892.62 = 4,448.58/x
  3. Step 3: Cross multiply
    5,724.33x = 7,892.62 × 4,448.58
  4. Step 4: Simplify right side
    5,724.33x = 35,110,951.48
  5. Step 5: Solve for x
    x = 35,110,951.48/5,724.33
  6. Step 6: Final answer
    x = 6,133.64

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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.