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Finding the Fourth Proportional to 3,508.84, 5,262.36 and 1,043.09

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Solution

The fourth proportional to 3,508.84, 5,262.36 and 1,043.09 is: 1,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.84 : 5,262.36 = 1,043.09 : x
  2. Step 2: Convert to fraction form
    3,508.84/5,262.36 = 1,043.09/x
  3. Step 3: Cross multiply
    3,508.84x = 5,262.36 × 1,043.09
  4. Step 4: Simplify right side
    3,508.84x = 5,489,115.09
  5. Step 5: Solve for x
    x = 5,489,115.09/3,508.84
  6. Step 6: Final answer
    x = 1,564.37

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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.