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Finding the Fourth Proportional to 5,797.80, 8,696.34 and 1,637.64

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Solution

The fourth proportional to 5,797.80, 8,696.34 and 1,637.64 is: 2,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.80 : 8,696.34 = 1,637.64 : x
  2. Step 2: Convert to fraction form
    5,797.80/8,696.34 = 1,637.64/x
  3. Step 3: Cross multiply
    5,797.80x = 8,696.34 × 1,637.64
  4. Step 4: Simplify right side
    5,797.80x = 14,241,474.24
  5. Step 5: Solve for x
    x = 14,241,474.24/5,797.80
  6. Step 6: Final answer
    x = 2,456.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.