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Finding the Fourth Proportional to 5,515.62, 8,274.02 and 1,766.06

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Solution

The fourth proportional to 5,515.62, 8,274.02 and 1,766.06 is: 2,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.62 : 8,274.02 = 1,766.06 : x
  2. Step 2: Convert to fraction form
    5,515.62/8,274.02 = 1,766.06/x
  3. Step 3: Cross multiply
    5,515.62x = 8,274.02 × 1,766.06
  4. Step 4: Simplify right side
    5,515.62x = 14,612,394.22
  5. Step 5: Solve for x
    x = 14,612,394.22/5,515.62
  6. Step 6: Final answer
    x = 2,649.28

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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.