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Finding the Fourth Proportional to 4,273.48, 6,412.62 and 2,082.16

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Solution

The fourth proportional to 4,273.48, 6,412.62 and 2,082.16 is: 3,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.48 : 6,412.62 = 2,082.16 : x
  2. Step 2: Convert to fraction form
    4,273.48/6,412.62 = 2,082.16/x
  3. Step 3: Cross multiply
    4,273.48x = 6,412.62 × 2,082.16
  4. Step 4: Simplify right side
    4,273.48x = 13,352,100.86
  5. Step 5: Solve for x
    x = 13,352,100.86/4,273.48
  6. Step 6: Final answer
    x = 3,124.41

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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.