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Finding the Fourth Proportional to 5,797.76, 8,000.94 and 3,407.09

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Solution

The fourth proportional to 5,797.76, 8,000.94 and 3,407.09 is: 4,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.76 : 8,000.94 = 3,407.09 : x
  2. Step 2: Convert to fraction form
    5,797.76/8,000.94 = 3,407.09/x
  3. Step 3: Cross multiply
    5,797.76x = 8,000.94 × 3,407.09
  4. Step 4: Simplify right side
    5,797.76x = 27,259,882.66
  5. Step 5: Solve for x
    x = 27,259,882.66/5,797.76
  6. Step 6: Final answer
    x = 4,701.80

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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.