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Finding the Fourth Proportional to 3,505.52, 5,256.30 and 3,207.62

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Solution

The fourth proportional to 3,505.52, 5,256.30 and 3,207.62 is: 4,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.52 : 5,256.30 = 3,207.62 : x
  2. Step 2: Convert to fraction form
    3,505.52/5,256.30 = 3,207.62/x
  3. Step 3: Cross multiply
    3,505.52x = 5,256.30 × 3,207.62
  4. Step 4: Simplify right side
    3,505.52x = 16,860,213.01
  5. Step 5: Solve for x
    x = 16,860,213.01/3,505.52
  6. Step 6: Final answer
    x = 4,809.62

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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.