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Finding the Fourth Proportional to 3,881.70, 5,812.83 and 3,098.34

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Solution

The fourth proportional to 3,881.70, 5,812.83 and 3,098.34 is: 4,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.70 : 5,812.83 = 3,098.34 : x
  2. Step 2: Convert to fraction form
    3,881.70/5,812.83 = 3,098.34/x
  3. Step 3: Cross multiply
    3,881.70x = 5,812.83 × 3,098.34
  4. Step 4: Simplify right side
    3,881.70x = 18,010,123.70
  5. Step 5: Solve for x
    x = 18,010,123.70/3,881.70
  6. Step 6: Final answer
    x = 4,639.75

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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.