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Finding the Fourth Proportional to 3,765.63, 5,196.64 and 2,193.82

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Solution

The fourth proportional to 3,765.63, 5,196.64 and 2,193.82 is: 3,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.63 : 5,196.64 = 2,193.82 : x
  2. Step 2: Convert to fraction form
    3,765.63/5,196.64 = 2,193.82/x
  3. Step 3: Cross multiply
    3,765.63x = 5,196.64 × 2,193.82
  4. Step 4: Simplify right side
    3,765.63x = 11,400,492.76
  5. Step 5: Solve for x
    x = 11,400,492.76/3,765.63
  6. Step 6: Final answer
    x = 3,027.51

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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.