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Finding the Fourth Proportional to 4,930.34, 7,398.35 and 2,738.89

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Solution

The fourth proportional to 4,930.34, 7,398.35 and 2,738.89 is: 4,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.34 : 7,398.35 = 2,738.89 : x
  2. Step 2: Convert to fraction form
    4,930.34/7,398.35 = 2,738.89/x
  3. Step 3: Cross multiply
    4,930.34x = 7,398.35 × 2,738.89
  4. Step 4: Simplify right side
    4,930.34x = 20,263,266.83
  5. Step 5: Solve for x
    x = 20,263,266.83/4,930.34
  6. Step 6: Final answer
    x = 4,109.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.