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Finding the Fourth Proportional to 5,797.80, 7,996.44 and 4,210.32

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Solution

The fourth proportional to 5,797.80, 7,996.44 and 4,210.32 is: 5,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.80 : 7,996.44 = 4,210.32 : x
  2. Step 2: Convert to fraction form
    5,797.80/7,996.44 = 4,210.32/x
  3. Step 3: Cross multiply
    5,797.80x = 7,996.44 × 4,210.32
  4. Step 4: Simplify right side
    5,797.80x = 33,667,571.26
  5. Step 5: Solve for x
    x = 33,667,571.26/5,797.80
  6. Step 6: Final answer
    x = 5,806.96

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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.