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Finding the Fourth Proportional to 4,264.30, 5,885.83 and 3,821.43

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Solution

The fourth proportional to 4,264.30, 5,885.83 and 3,821.43 is: 5,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.30 : 5,885.83 = 3,821.43 : x
  2. Step 2: Convert to fraction form
    4,264.30/5,885.83 = 3,821.43/x
  3. Step 3: Cross multiply
    4,264.30x = 5,885.83 × 3,821.43
  4. Step 4: Simplify right side
    4,264.30x = 22,492,287.34
  5. Step 5: Solve for x
    x = 22,492,287.34/4,264.30
  6. Step 6: Final answer
    x = 5,274.56

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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.