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Finding the Fourth Proportional to 4,452.84, 6,140.90 and 2,857.65

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Solution

The fourth proportional to 4,452.84, 6,140.90 and 2,857.65 is: 3,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.84 : 6,140.90 = 2,857.65 : x
  2. Step 2: Convert to fraction form
    4,452.84/6,140.90 = 2,857.65/x
  3. Step 3: Cross multiply
    4,452.84x = 6,140.90 × 2,857.65
  4. Step 4: Simplify right side
    4,452.84x = 17,548,528.60
  5. Step 5: Solve for x
    x = 17,548,528.60/4,452.84
  6. Step 6: Final answer
    x = 3,940.97

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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.