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Finding the Fourth Proportional to 3,654.42, 5,480.52 and 3,069.60

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Solution

The fourth proportional to 3,654.42, 5,480.52 and 3,069.60 is: 4,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.42 : 5,480.52 = 3,069.60 : x
  2. Step 2: Convert to fraction form
    3,654.42/5,480.52 = 3,069.60/x
  3. Step 3: Cross multiply
    3,654.42x = 5,480.52 × 3,069.60
  4. Step 4: Simplify right side
    3,654.42x = 16,823,004.19
  5. Step 5: Solve for x
    x = 16,823,004.19/3,654.42
  6. Step 6: Final answer
    x = 4,603.47

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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.