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Finding the Fourth Proportional to 4,667.67, 7,002.69 and 1,380.75

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Solution

The fourth proportional to 4,667.67, 7,002.69 and 1,380.75 is: 2,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.67 : 7,002.69 = 1,380.75 : x
  2. Step 2: Convert to fraction form
    4,667.67/7,002.69 = 1,380.75/x
  3. Step 3: Cross multiply
    4,667.67x = 7,002.69 × 1,380.75
  4. Step 4: Simplify right side
    4,667.67x = 9,668,957.31
  5. Step 5: Solve for x
    x = 9,668,957.31/4,667.67
  6. Step 6: Final answer
    x = 2,071.47

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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.