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Finding the Fourth Proportional to 4,902.13, 7,361.90 and 4,511.30

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Solution

The fourth proportional to 4,902.13, 7,361.90 and 4,511.30 is: 6,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.13 : 7,361.90 = 4,511.30 : x
  2. Step 2: Convert to fraction form
    4,902.13/7,361.90 = 4,511.30/x
  3. Step 3: Cross multiply
    4,902.13x = 7,361.90 × 4,511.30
  4. Step 4: Simplify right side
    4,902.13x = 33,211,716.91
  5. Step 5: Solve for x
    x = 33,211,716.91/4,902.13
  6. Step 6: Final answer
    x = 6,774.96

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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.