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Finding the Fourth Proportional to 5,137.10, 7,710.96 and 3,164.15

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Solution

The fourth proportional to 5,137.10, 7,710.96 and 3,164.15 is: 4,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.10 : 7,710.96 = 3,164.15 : x
  2. Step 2: Convert to fraction form
    5,137.10/7,710.96 = 3,164.15/x
  3. Step 3: Cross multiply
    5,137.10x = 7,710.96 × 3,164.15
  4. Step 4: Simplify right side
    5,137.10x = 24,398,634.08
  5. Step 5: Solve for x
    x = 24,398,634.08/5,137.10
  6. Step 6: Final answer
    x = 4,749.50

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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.