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Finding the Fourth Proportional to 5,508.44, 7,600.48 and 3,270

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Solution

The fourth proportional to 5,508.44, 7,600.48 and 3,270 is: 4,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.44 : 7,600.48 = 3,270 : x
  2. Step 2: Convert to fraction form
    5,508.44/7,600.48 = 3,270/x
  3. Step 3: Cross multiply
    5,508.44x = 7,600.48 × 3,270
  4. Step 4: Simplify right side
    5,508.44x = 24,853,569.60
  5. Step 5: Solve for x
    x = 24,853,569.60/5,508.44
  6. Step 6: Final answer
    x = 4,511.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.