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Finding the Fourth Proportional to 3,511.33, 5,266.94 and 1,046.16

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Solution

The fourth proportional to 3,511.33, 5,266.94 and 1,046.16 is: 1,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.33 : 5,266.94 = 1,046.16 : x
  2. Step 2: Convert to fraction form
    3,511.33/5,266.94 = 1,046.16/x
  3. Step 3: Cross multiply
    3,511.33x = 5,266.94 × 1,046.16
  4. Step 4: Simplify right side
    3,511.33x = 5,510,056.72
  5. Step 5: Solve for x
    x = 5,510,056.72/3,511.33
  6. Step 6: Final answer
    x = 1,569.22

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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.