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Finding the Fourth Proportional to 5,125.83, 7,689.17 and 3,756.21

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Solution

The fourth proportional to 5,125.83, 7,689.17 and 3,756.21 is: 5,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.83 : 7,689.17 = 3,756.21 : x
  2. Step 2: Convert to fraction form
    5,125.83/7,689.17 = 3,756.21/x
  3. Step 3: Cross multiply
    5,125.83x = 7,689.17 × 3,756.21
  4. Step 4: Simplify right side
    5,125.83x = 28,882,137.25
  5. Step 5: Solve for x
    x = 28,882,137.25/5,125.83
  6. Step 6: Final answer
    x = 5,634.63

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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.