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Finding the Fourth Proportional to 4,116.80, 6,175.20 and 1,652.80

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Solution

The fourth proportional to 4,116.80, 6,175.20 and 1,652.80 is: 2,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.80 : 6,175.20 = 1,652.80 : x
  2. Step 2: Convert to fraction form
    4,116.80/6,175.20 = 1,652.80/x
  3. Step 3: Cross multiply
    4,116.80x = 6,175.20 × 1,652.80
  4. Step 4: Simplify right side
    4,116.80x = 10,206,370.56
  5. Step 5: Solve for x
    x = 10,206,370.56/4,116.80
  6. Step 6: Final answer
    x = 2,479.20

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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.