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Finding the Fourth Proportional to 4,563.67, 6,812.49 and 4,010.08

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Solution

The fourth proportional to 4,563.67, 6,812.49 and 4,010.08 is: 5,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.67 : 6,812.49 = 4,010.08 : x
  2. Step 2: Convert to fraction form
    4,563.67/6,812.49 = 4,010.08/x
  3. Step 3: Cross multiply
    4,563.67x = 6,812.49 × 4,010.08
  4. Step 4: Simplify right side
    4,563.67x = 27,318,623.38
  5. Step 5: Solve for x
    x = 27,318,623.38/4,563.67
  6. Step 6: Final answer
    x = 5,986.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.