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Finding the Fourth Proportional to 4,830.84, 6,665.49 and 2,734.83

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Solution

The fourth proportional to 4,830.84, 6,665.49 and 2,734.83 is: 3,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.84 : 6,665.49 = 2,734.83 : x
  2. Step 2: Convert to fraction form
    4,830.84/6,665.49 = 2,734.83/x
  3. Step 3: Cross multiply
    4,830.84x = 6,665.49 × 2,734.83
  4. Step 4: Simplify right side
    4,830.84x = 18,228,982.02
  5. Step 5: Solve for x
    x = 18,228,982.02/4,830.84
  6. Step 6: Final answer
    x = 3,773.46

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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.