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Finding the Fourth Proportional to 5,792.69, 7,993.94 and 3,140.10

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Solution

The fourth proportional to 5,792.69, 7,993.94 and 3,140.10 is: 4,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.69 : 7,993.94 = 3,140.10 : x
  2. Step 2: Convert to fraction form
    5,792.69/7,993.94 = 3,140.10/x
  3. Step 3: Cross multiply
    5,792.69x = 7,993.94 × 3,140.10
  4. Step 4: Simplify right side
    5,792.69x = 25,101,755.29
  5. Step 5: Solve for x
    x = 25,101,755.29/5,792.69
  6. Step 6: Final answer
    x = 4,333.35

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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.