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Finding the Fourth Proportional to 4,667.82, 7,002.96 and 1,380.99

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Solution

The fourth proportional to 4,667.82, 7,002.96 and 1,380.99 is: 2,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.82 : 7,002.96 = 1,380.99 : x
  2. Step 2: Convert to fraction form
    4,667.82/7,002.96 = 1,380.99/x
  3. Step 3: Cross multiply
    4,667.82x = 7,002.96 × 1,380.99
  4. Step 4: Simplify right side
    4,667.82x = 9,671,017.73
  5. Step 5: Solve for x
    x = 9,671,017.73/4,667.82
  6. Step 6: Final answer
    x = 2,071.85

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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.