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Finding the Fourth Proportional to 5,797.24, 7,998.96 and 3,440.16

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Solution

The fourth proportional to 5,797.24, 7,998.96 and 3,440.16 is: 4,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.24 : 7,998.96 = 3,440.16 : x
  2. Step 2: Convert to fraction form
    5,797.24/7,998.96 = 3,440.16/x
  3. Step 3: Cross multiply
    5,797.24x = 7,998.96 × 3,440.16
  4. Step 4: Simplify right side
    5,797.24x = 27,517,702.23
  5. Step 5: Solve for x
    x = 27,517,702.23/5,797.24
  6. Step 6: Final answer
    x = 4,746.69

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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.