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Finding the Fourth Proportional to 4,673.30, 7,010.67 and 2,209.46

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Solution

The fourth proportional to 4,673.30, 7,010.67 and 2,209.46 is: 3,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.30 : 7,010.67 = 2,209.46 : x
  2. Step 2: Convert to fraction form
    4,673.30/7,010.67 = 2,209.46/x
  3. Step 3: Cross multiply
    4,673.30x = 7,010.67 × 2,209.46
  4. Step 4: Simplify right side
    4,673.30x = 15,489,794.94
  5. Step 5: Solve for x
    x = 15,489,794.94/4,673.30
  6. Step 6: Final answer
    x = 3,314.53

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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.