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Finding the Fourth Proportional to 4,493.67, 6,706.56 and 4,377.03

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Solution

The fourth proportional to 4,493.67, 6,706.56 and 4,377.03 is: 6,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.67 : 6,706.56 = 4,377.03 : x
  2. Step 2: Convert to fraction form
    4,493.67/6,706.56 = 4,377.03/x
  3. Step 3: Cross multiply
    4,493.67x = 6,706.56 × 4,377.03
  4. Step 4: Simplify right side
    4,493.67x = 29,354,814.32
  5. Step 5: Solve for x
    x = 29,354,814.32/4,493.67
  6. Step 6: Final answer
    x = 6,532.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.