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Finding the Fourth Proportional to 5,506.80, 8,262.22 and 2,546.66

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Solution

The fourth proportional to 5,506.80, 8,262.22 and 2,546.66 is: 3,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.80 : 8,262.22 = 2,546.66 : x
  2. Step 2: Convert to fraction form
    5,506.80/8,262.22 = 2,546.66/x
  3. Step 3: Cross multiply
    5,506.80x = 8,262.22 × 2,546.66
  4. Step 4: Simplify right side
    5,506.80x = 21,041,065.19
  5. Step 5: Solve for x
    x = 21,041,065.19/5,506.80
  6. Step 6: Final answer
    x = 3,820.92

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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.