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Finding the Fourth Proportional to 5,126.83, 7,690.67 and 3,757.21

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Solution

The fourth proportional to 5,126.83, 7,690.67 and 3,757.21 is: 5,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.83 : 7,690.67 = 3,757.21 : x
  2. Step 2: Convert to fraction form
    5,126.83/7,690.67 = 3,757.21/x
  3. Step 3: Cross multiply
    5,126.83x = 7,690.67 × 3,757.21
  4. Step 4: Simplify right side
    5,126.83x = 28,895,462.23
  5. Step 5: Solve for x
    x = 28,895,462.23/5,126.83
  6. Step 6: Final answer
    x = 5,636.13

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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.