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Finding the Fourth Proportional to 5,724.30, 7,891.79 and 4,893.93

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Solution

The fourth proportional to 5,724.30, 7,891.79 and 4,893.93 is: 6,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.30 : 7,891.79 = 4,893.93 : x
  2. Step 2: Convert to fraction form
    5,724.30/7,891.79 = 4,893.93/x
  3. Step 3: Cross multiply
    5,724.30x = 7,891.79 × 4,893.93
  4. Step 4: Simplify right side
    5,724.30x = 38,621,843.37
  5. Step 5: Solve for x
    x = 38,621,843.37/5,724.30
  6. Step 6: Final answer
    x = 6,747.00

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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.