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Finding the Fourth Proportional to 5,128.84, 7,683.81 and 3,042.82

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Solution

The fourth proportional to 5,128.84, 7,683.81 and 3,042.82 is: 4,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.84 : 7,683.81 = 3,042.82 : x
  2. Step 2: Convert to fraction form
    5,128.84/7,683.81 = 3,042.82/x
  3. Step 3: Cross multiply
    5,128.84x = 7,683.81 × 3,042.82
  4. Step 4: Simplify right side
    5,128.84x = 23,380,450.74
  5. Step 5: Solve for x
    x = 23,380,450.74/5,128.84
  6. Step 6: Final answer
    x = 4,558.62

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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.