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Finding the Fourth Proportional to 5,797.96, 7,998.11 and 4,120.04

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Solution

The fourth proportional to 5,797.96, 7,998.11 and 4,120.04 is: 5,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.96 : 7,998.11 = 4,120.04 : x
  2. Step 2: Convert to fraction form
    5,797.96/7,998.11 = 4,120.04/x
  3. Step 3: Cross multiply
    5,797.96x = 7,998.11 × 4,120.04
  4. Step 4: Simplify right side
    5,797.96x = 32,952,543.42
  5. Step 5: Solve for x
    x = 32,952,543.42/5,797.96
  6. Step 6: Final answer
    x = 5,683.48

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Double scale
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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.