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Finding the Fourth Proportional to 3,511.36, 5,266.93 and 1,046.20

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Solution

The fourth proportional to 3,511.36, 5,266.93 and 1,046.20 is: 1,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.36 : 5,266.93 = 1,046.20 : x
  2. Step 2: Convert to fraction form
    3,511.36/5,266.93 = 1,046.20/x
  3. Step 3: Cross multiply
    3,511.36x = 5,266.93 × 1,046.20
  4. Step 4: Simplify right side
    3,511.36x = 5,510,262.17
  5. Step 5: Solve for x
    x = 5,510,262.17/3,511.36
  6. Step 6: Final answer
    x = 1,569.27

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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.