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Finding the Fourth Proportional to 5,728.52, 7,905.33 and 3,489.93

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Solution

The fourth proportional to 5,728.52, 7,905.33 and 3,489.93 is: 4,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.52 : 7,905.33 = 3,489.93 : x
  2. Step 2: Convert to fraction form
    5,728.52/7,905.33 = 3,489.93/x
  3. Step 3: Cross multiply
    5,728.52x = 7,905.33 × 3,489.93
  4. Step 4: Simplify right side
    5,728.52x = 27,589,048.33
  5. Step 5: Solve for x
    x = 27,589,048.33/5,728.52
  6. Step 6: Final answer
    x = 4,816.08

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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.