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Finding the Fourth Proportional to 5,941.84, 8,912.58 and 2,824.10

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Solution

The fourth proportional to 5,941.84, 8,912.58 and 2,824.10 is: 4,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.84 : 8,912.58 = 2,824.10 : x
  2. Step 2: Convert to fraction form
    5,941.84/8,912.58 = 2,824.10/x
  3. Step 3: Cross multiply
    5,941.84x = 8,912.58 × 2,824.10
  4. Step 4: Simplify right side
    5,941.84x = 25,170,017.18
  5. Step 5: Solve for x
    x = 25,170,017.18/5,941.84
  6. Step 6: Final answer
    x = 4,236.06

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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.