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Finding the Fourth Proportional to 3,765.82, 5,197.08 and 3,464.50

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Solution

The fourth proportional to 3,765.82, 5,197.08 and 3,464.50 is: 4,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.82 : 5,197.08 = 3,464.50 : x
  2. Step 2: Convert to fraction form
    3,765.82/5,197.08 = 3,464.50/x
  3. Step 3: Cross multiply
    3,765.82x = 5,197.08 × 3,464.50
  4. Step 4: Simplify right side
    3,765.82x = 18,005,283.66
  5. Step 5: Solve for x
    x = 18,005,283.66/3,765.82
  6. Step 6: Final answer
    x = 4,781.24

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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.