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Finding the Fourth Proportional to 5,301.98, 7,950.27 and 2,012.57

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Solution

The fourth proportional to 5,301.98, 7,950.27 and 2,012.57 is: 3,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.98 : 7,950.27 = 2,012.57 : x
  2. Step 2: Convert to fraction form
    5,301.98/7,950.27 = 2,012.57/x
  3. Step 3: Cross multiply
    5,301.98x = 7,950.27 × 2,012.57
  4. Step 4: Simplify right side
    5,301.98x = 16,000,474.89
  5. Step 5: Solve for x
    x = 16,000,474.89/5,301.98
  6. Step 6: Final answer
    x = 3,017.83

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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.