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Finding the Fourth Proportional to 5,072.67, 6,999.77 and 3,480.68

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Solution

The fourth proportional to 5,072.67, 6,999.77 and 3,480.68 is: 4,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.67 : 6,999.77 = 3,480.68 : x
  2. Step 2: Convert to fraction form
    5,072.67/6,999.77 = 3,480.68/x
  3. Step 3: Cross multiply
    5,072.67x = 6,999.77 × 3,480.68
  4. Step 4: Simplify right side
    5,072.67x = 24,363,959.54
  5. Step 5: Solve for x
    x = 24,363,959.54/5,072.67
  6. Step 6: Final answer
    x = 4,802.99

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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.