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Finding the Fourth Proportional to 3,635.72, 5,450.70 and 1,445

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Solution

The fourth proportional to 3,635.72, 5,450.70 and 1,445 is: 2,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.72 : 5,450.70 = 1,445 : x
  2. Step 2: Convert to fraction form
    3,635.72/5,450.70 = 1,445/x
  3. Step 3: Cross multiply
    3,635.72x = 5,450.70 × 1,445
  4. Step 4: Simplify right side
    3,635.72x = 7,876,261.50
  5. Step 5: Solve for x
    x = 7,876,261.50/3,635.72
  6. Step 6: Final answer
    x = 2,166.36

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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.