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Finding the Fourth Proportional to 5,354.62, 7,389.33 and 2,964.65

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Solution

The fourth proportional to 5,354.62, 7,389.33 and 2,964.65 is: 4,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.62 : 7,389.33 = 2,964.65 : x
  2. Step 2: Convert to fraction form
    5,354.62/7,389.33 = 2,964.65/x
  3. Step 3: Cross multiply
    5,354.62x = 7,389.33 × 2,964.65
  4. Step 4: Simplify right side
    5,354.62x = 21,906,729.12
  5. Step 5: Solve for x
    x = 21,906,729.12/5,354.62
  6. Step 6: Final answer
    x = 4,091.18

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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.