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Finding the Fourth Proportional to 5,797.97, 8,696.16 and 1,638.30

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Solution

The fourth proportional to 5,797.97, 8,696.16 and 1,638.30 is: 2,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.97 : 8,696.16 = 1,638.30 : x
  2. Step 2: Convert to fraction form
    5,797.97/8,696.16 = 1,638.30/x
  3. Step 3: Cross multiply
    5,797.97x = 8,696.16 × 1,638.30
  4. Step 4: Simplify right side
    5,797.97x = 14,246,918.93
  5. Step 5: Solve for x
    x = 14,246,918.93/5,797.97
  6. Step 6: Final answer
    x = 2,457.23

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1.5x scale

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.