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Finding the Fourth Proportional to 5,072.47, 6,999.97 and 2,834.32

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Solution

The fourth proportional to 5,072.47, 6,999.97 and 2,834.32 is: 3,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.47 : 6,999.97 = 2,834.32 : x
  2. Step 2: Convert to fraction form
    5,072.47/6,999.97 = 2,834.32/x
  3. Step 3: Cross multiply
    5,072.47x = 6,999.97 × 2,834.32
  4. Step 4: Simplify right side
    5,072.47x = 19,840,154.97
  5. Step 5: Solve for x
    x = 19,840,154.97/5,072.47
  6. Step 6: Final answer
    x = 3,911.34

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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.