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Finding the Fourth Proportional to 4,667.57, 7,001.44 and 1,380.66

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Solution

The fourth proportional to 4,667.57, 7,001.44 and 1,380.66 is: 2,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.57 : 7,001.44 = 1,380.66 : x
  2. Step 2: Convert to fraction form
    4,667.57/7,001.44 = 1,380.66/x
  3. Step 3: Cross multiply
    4,667.57x = 7,001.44 × 1,380.66
  4. Step 4: Simplify right side
    4,667.57x = 9,666,608.15
  5. Step 5: Solve for x
    x = 9,666,608.15/4,667.57
  6. Step 6: Final answer
    x = 2,071.02

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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.