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Finding the Fourth Proportional to 5,975.46, 8,962.00 and 5,679.11

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Solution

The fourth proportional to 5,975.46, 8,962.00 and 5,679.11 is: 8,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.46 : 8,962.00 = 5,679.11 : x
  2. Step 2: Convert to fraction form
    5,975.46/8,962.00 = 5,679.11/x
  3. Step 3: Cross multiply
    5,975.46x = 8,962.00 × 5,679.11
  4. Step 4: Simplify right side
    5,975.46x = 50,896,192.03
  5. Step 5: Solve for x
    x = 50,896,192.03/5,975.46
  6. Step 6: Final answer
    x = 8,517.54

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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.