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Finding the Fourth Proportional to 4,817.67, 6,648.30 and 2,693.07

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Solution

The fourth proportional to 4,817.67, 6,648.30 and 2,693.07 is: 3,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.67 : 6,648.30 = 2,693.07 : x
  2. Step 2: Convert to fraction form
    4,817.67/6,648.30 = 2,693.07/x
  3. Step 3: Cross multiply
    4,817.67x = 6,648.30 × 2,693.07
  4. Step 4: Simplify right side
    4,817.67x = 17,904,337.28
  5. Step 5: Solve for x
    x = 17,904,337.28/4,817.67
  6. Step 6: Final answer
    x = 3,716.39

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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.