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Finding the Fourth Proportional to 4,294.48, 5,911.97 and 3,821.64

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Solution

The fourth proportional to 4,294.48, 5,911.97 and 3,821.64 is: 5,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.48 : 5,911.97 = 3,821.64 : x
  2. Step 2: Convert to fraction form
    4,294.48/5,911.97 = 3,821.64/x
  3. Step 3: Cross multiply
    4,294.48x = 5,911.97 × 3,821.64
  4. Step 4: Simplify right side
    4,294.48x = 22,593,421.03
  5. Step 5: Solve for x
    x = 22,593,421.03/4,294.48
  6. Step 6: Final answer
    x = 5,261.04

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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.