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Finding the Fourth Proportional to 3,768.30, 5,646.08 and 2,304.38

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Solution

The fourth proportional to 3,768.30, 5,646.08 and 2,304.38 is: 3,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.30 : 5,646.08 = 2,304.38 : x
  2. Step 2: Convert to fraction form
    3,768.30/5,646.08 = 2,304.38/x
  3. Step 3: Cross multiply
    3,768.30x = 5,646.08 × 2,304.38
  4. Step 4: Simplify right side
    3,768.30x = 13,010,674.08
  5. Step 5: Solve for x
    x = 13,010,674.08/3,768.30
  6. Step 6: Final answer
    x = 3,452.66

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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.