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Finding the Fourth Proportional to 5,964.60, 8,936.10 and 5,100.60

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Solution

The fourth proportional to 5,964.60, 8,936.10 and 5,100.60 is: 7,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.60 : 8,936.10 = 5,100.60 : x
  2. Step 2: Convert to fraction form
    5,964.60/8,936.10 = 5,100.60/x
  3. Step 3: Cross multiply
    5,964.60x = 8,936.10 × 5,100.60
  4. Step 4: Simplify right side
    5,964.60x = 45,579,471.66
  5. Step 5: Solve for x
    x = 45,579,471.66/5,964.60
  6. Step 6: Final answer
    x = 7,641.66

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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.