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Finding the Fourth Proportional to 4,665.67, 6,995.77 and 1,744.20

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Solution

The fourth proportional to 4,665.67, 6,995.77 and 1,744.20 is: 2,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.67 : 6,995.77 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    4,665.67/6,995.77 = 1,744.20/x
  3. Step 3: Cross multiply
    4,665.67x = 6,995.77 × 1,744.20
  4. Step 4: Simplify right side
    4,665.67x = 12,202,017.67
  5. Step 5: Solve for x
    x = 12,202,017.67/4,665.67
  6. Step 6: Final answer
    x = 2,615.28

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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.