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Finding the Fourth Proportional to 5,797.96, 8,022.28 and 5,053.46

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Solution

The fourth proportional to 5,797.96, 8,022.28 and 5,053.46 is: 6,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.96 : 8,022.28 = 5,053.46 : x
  2. Step 2: Convert to fraction form
    5,797.96/8,022.28 = 5,053.46/x
  3. Step 3: Cross multiply
    5,797.96x = 8,022.28 × 5,053.46
  4. Step 4: Simplify right side
    5,797.96x = 40,540,271.09
  5. Step 5: Solve for x
    x = 40,540,271.09/5,797.96
  6. Step 6: Final answer
    x = 6,992.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.