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Finding the Fourth Proportional to 3,762, 5,191.56 and 2,106

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Solution

The fourth proportional to 3,762, 5,191.56 and 2,106 is: 2,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 5,191.56 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,762/5,191.56 = 2,106/x
  3. Step 3: Cross multiply
    3,762x = 5,191.56 × 2,106
  4. Step 4: Simplify right side
    3,762x = 10,933,425.36
  5. Step 5: Solve for x
    x = 10,933,425.36/3,762
  6. Step 6: Final answer
    x = 2,906.28

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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.