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Finding the Fourth Proportional to 5,614.30, 7,728.78 and 4,958.20

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Solution

The fourth proportional to 5,614.30, 7,728.78 and 4,958.20 is: 6,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.30 : 7,728.78 = 4,958.20 : x
  2. Step 2: Convert to fraction form
    5,614.30/7,728.78 = 4,958.20/x
  3. Step 3: Cross multiply
    5,614.30x = 7,728.78 × 4,958.20
  4. Step 4: Simplify right side
    5,614.30x = 38,320,837.00
  5. Step 5: Solve for x
    x = 38,320,837.00/5,614.30
  6. Step 6: Final answer
    x = 6,825.58

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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.