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Finding the Fourth Proportional to 3,499.81, 4,829.62 and 2,083.17

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Solution

The fourth proportional to 3,499.81, 4,829.62 and 2,083.17 is: 2,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.81 : 4,829.62 = 2,083.17 : x
  2. Step 2: Convert to fraction form
    3,499.81/4,829.62 = 2,083.17/x
  3. Step 3: Cross multiply
    3,499.81x = 4,829.62 × 2,083.17
  4. Step 4: Simplify right side
    3,499.81x = 10,060,919.50
  5. Step 5: Solve for x
    x = 10,060,919.50/3,499.81
  6. Step 6: Final answer
    x = 2,874.70

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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.