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Finding the Fourth Proportional to 5,975.84, 8,967.36 and 2,082.98

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Solution

The fourth proportional to 5,975.84, 8,967.36 and 2,082.98 is: 3,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.84 : 8,967.36 = 2,082.98 : x
  2. Step 2: Convert to fraction form
    5,975.84/8,967.36 = 2,082.98/x
  3. Step 3: Cross multiply
    5,975.84x = 8,967.36 × 2,082.98
  4. Step 4: Simplify right side
    5,975.84x = 18,678,786.70
  5. Step 5: Solve for x
    x = 18,678,786.70/5,975.84
  6. Step 6: Final answer
    x = 3,125.72

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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.