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Finding the Fourth Proportional to 3,511.17, 5,266.80 and 1,045.80

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Solution

The fourth proportional to 3,511.17, 5,266.80 and 1,045.80 is: 1,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.17 : 5,266.80 = 1,045.80 : x
  2. Step 2: Convert to fraction form
    3,511.17/5,266.80 = 1,045.80/x
  3. Step 3: Cross multiply
    3,511.17x = 5,266.80 × 1,045.80
  4. Step 4: Simplify right side
    3,511.17x = 5,508,019.44
  5. Step 5: Solve for x
    x = 5,508,019.44/3,511.17
  6. Step 6: Final answer
    x = 1,568.71

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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.