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Finding the Fourth Proportional to 3,765.63, 5,196.56 and 2,109.63

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Solution

The fourth proportional to 3,765.63, 5,196.56 and 2,109.63 is: 2,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.63 : 5,196.56 = 2,109.63 : x
  2. Step 2: Convert to fraction form
    3,765.63/5,196.56 = 2,109.63/x
  3. Step 3: Cross multiply
    3,765.63x = 5,196.56 × 2,109.63
  4. Step 4: Simplify right side
    3,765.63x = 10,962,798.16
  5. Step 5: Solve for x
    x = 10,962,798.16/3,765.63
  6. Step 6: Final answer
    x = 2,911.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.