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Finding the Fourth Proportional to 5,137.83, 7,703.84 and 1,627.17

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Solution

The fourth proportional to 5,137.83, 7,703.84 and 1,627.17 is: 2,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.83 : 7,703.84 = 1,627.17 : x
  2. Step 2: Convert to fraction form
    5,137.83/7,703.84 = 1,627.17/x
  3. Step 3: Cross multiply
    5,137.83x = 7,703.84 × 1,627.17
  4. Step 4: Simplify right side
    5,137.83x = 12,535,449.20
  5. Step 5: Solve for x
    x = 12,535,449.20/5,137.83
  6. Step 6: Final answer
    x = 2,439.83

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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.