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Finding the Fourth Proportional to 3,352.82, 5,029.71 and 1,044.50

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Solution

The fourth proportional to 3,352.82, 5,029.71 and 1,044.50 is: 1,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.82 : 5,029.71 = 1,044.50 : x
  2. Step 2: Convert to fraction form
    3,352.82/5,029.71 = 1,044.50/x
  3. Step 3: Cross multiply
    3,352.82x = 5,029.71 × 1,044.50
  4. Step 4: Simplify right side
    3,352.82x = 5,253,532.10
  5. Step 5: Solve for x
    x = 5,253,532.10/3,352.82
  6. Step 6: Final answer
    x = 1,566.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.