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Finding the Fourth Proportional to 3,500.96, 4,829.19 and 2,083.70

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Solution

The fourth proportional to 3,500.96, 4,829.19 and 2,083.70 is: 2,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.96 : 4,829.19 = 2,083.70 : x
  2. Step 2: Convert to fraction form
    3,500.96/4,829.19 = 2,083.70/x
  3. Step 3: Cross multiply
    3,500.96x = 4,829.19 × 2,083.70
  4. Step 4: Simplify right side
    3,500.96x = 10,062,595.28
  5. Step 5: Solve for x
    x = 10,062,595.28/3,500.96
  6. Step 6: Final answer
    x = 2,874.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.