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Finding the Fourth Proportional to 4,902.34, 6,768.29 and 3,371.91

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Solution

The fourth proportional to 4,902.34, 6,768.29 and 3,371.91 is: 4,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.34 : 6,768.29 = 3,371.91 : x
  2. Step 2: Convert to fraction form
    4,902.34/6,768.29 = 3,371.91/x
  3. Step 3: Cross multiply
    4,902.34x = 6,768.29 × 3,371.91
  4. Step 4: Simplify right side
    4,902.34x = 22,822,064.73
  5. Step 5: Solve for x
    x = 22,822,064.73/4,902.34
  6. Step 6: Final answer
    x = 4,655.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.