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Finding the Fourth Proportional to 4,667.55, 6,980.67 and 4,151.19

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Solution

The fourth proportional to 4,667.55, 6,980.67 and 4,151.19 is: 6,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.55 : 6,980.67 = 4,151.19 : x
  2. Step 2: Convert to fraction form
    4,667.55/6,980.67 = 4,151.19/x
  3. Step 3: Cross multiply
    4,667.55x = 6,980.67 × 4,151.19
  4. Step 4: Simplify right side
    4,667.55x = 28,978,087.50
  5. Step 5: Solve for x
    x = 28,978,087.50/4,667.55
  6. Step 6: Final answer
    x = 6,208.42

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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.