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Finding the Fourth Proportional to 5,271.96, 7,910.13 and 2,308.88

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Solution

The fourth proportional to 5,271.96, 7,910.13 and 2,308.88 is: 3,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.96 : 7,910.13 = 2,308.88 : x
  2. Step 2: Convert to fraction form
    5,271.96/7,910.13 = 2,308.88/x
  3. Step 3: Cross multiply
    5,271.96x = 7,910.13 × 2,308.88
  4. Step 4: Simplify right side
    5,271.96x = 18,263,501.40
  5. Step 5: Solve for x
    x = 18,263,501.40/5,271.96
  6. Step 6: Final answer
    x = 3,464.27

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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.