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Finding the Fourth Proportional to 3,654.54, 5,482.44 and 1,464.75

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Solution

The fourth proportional to 3,654.54, 5,482.44 and 1,464.75 is: 2,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.54 : 5,482.44 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    3,654.54/5,482.44 = 1,464.75/x
  3. Step 3: Cross multiply
    3,654.54x = 5,482.44 × 1,464.75
  4. Step 4: Simplify right side
    3,654.54x = 8,030,403.99
  5. Step 5: Solve for x
    x = 8,030,403.99/3,654.54
  6. Step 6: Final answer
    x = 2,197.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.