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Finding the Fourth Proportional to 5,796.66, 7,997.19 and 4,287.83

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Solution

The fourth proportional to 5,796.66, 7,997.19 and 4,287.83 is: 5,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.66 : 7,997.19 = 4,287.83 : x
  2. Step 2: Convert to fraction form
    5,796.66/7,997.19 = 4,287.83/x
  3. Step 3: Cross multiply
    5,796.66x = 7,997.19 × 4,287.83
  4. Step 4: Simplify right side
    5,796.66x = 34,290,551.21
  5. Step 5: Solve for x
    x = 34,290,551.21/5,796.66
  6. Step 6: Final answer
    x = 5,915.57

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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.