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Finding the Fourth Proportional to 4,914.67, 7,354.68 and 3,066.65

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Solution

The fourth proportional to 4,914.67, 7,354.68 and 3,066.65 is: 4,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.67 : 7,354.68 = 3,066.65 : x
  2. Step 2: Convert to fraction form
    4,914.67/7,354.68 = 3,066.65/x
  3. Step 3: Cross multiply
    4,914.67x = 7,354.68 × 3,066.65
  4. Step 4: Simplify right side
    4,914.67x = 22,554,247.81
  5. Step 5: Solve for x
    x = 22,554,247.81/4,914.67
  6. Step 6: Final answer
    x = 4,589.17

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Why These Related Problems?

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