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Finding the Fourth Proportional to 5,792.36, 8,683.68 and 4,694

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Solution

The fourth proportional to 5,792.36, 8,683.68 and 4,694 is: 7,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.36 : 8,683.68 = 4,694 : x
  2. Step 2: Convert to fraction form
    5,792.36/8,683.68 = 4,694/x
  3. Step 3: Cross multiply
    5,792.36x = 8,683.68 × 4,694
  4. Step 4: Simplify right side
    5,792.36x = 40,761,193.92
  5. Step 5: Solve for x
    x = 40,761,193.92/5,792.36
  6. Step 6: Final answer
    x = 7,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.