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Finding the Fourth Proportional to 4,485.84, 6,736.05 and 4,451.82

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Solution

The fourth proportional to 4,485.84, 6,736.05 and 4,451.82 is: 6,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.84 : 6,736.05 = 4,451.82 : x
  2. Step 2: Convert to fraction form
    4,485.84/6,736.05 = 4,451.82/x
  3. Step 3: Cross multiply
    4,485.84x = 6,736.05 × 4,451.82
  4. Step 4: Simplify right side
    4,485.84x = 29,987,682.11
  5. Step 5: Solve for x
    x = 29,987,682.11/4,485.84
  6. Step 6: Final answer
    x = 6,684.96

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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.