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Finding the Fourth Proportional to 5,316.28, 7,974.10 and 2,353.86

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Solution

The fourth proportional to 5,316.28, 7,974.10 and 2,353.86 is: 3,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.28 : 7,974.10 = 2,353.86 : x
  2. Step 2: Convert to fraction form
    5,316.28/7,974.10 = 2,353.86/x
  3. Step 3: Cross multiply
    5,316.28x = 7,974.10 × 2,353.86
  4. Step 4: Simplify right side
    5,316.28x = 18,769,876.05
  5. Step 5: Solve for x
    x = 18,769,876.05/5,316.28
  6. Step 6: Final answer
    x = 3,530.64

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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.