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Finding the Fourth Proportional to 5,532.83, 7,636.29 and 3,296

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Solution

The fourth proportional to 5,532.83, 7,636.29 and 3,296 is: 4,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.83 : 7,636.29 = 3,296 : x
  2. Step 2: Convert to fraction form
    5,532.83/7,636.29 = 3,296/x
  3. Step 3: Cross multiply
    5,532.83x = 7,636.29 × 3,296
  4. Step 4: Simplify right side
    5,532.83x = 25,169,211.84
  5. Step 5: Solve for x
    x = 25,169,211.84/5,532.83
  6. Step 6: Final answer
    x = 4,549.07

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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.