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Finding the Fourth Proportional to 4,667.97, 7,015.77 and 4,324.23

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Solution

The fourth proportional to 4,667.97, 7,015.77 and 4,324.23 is: 6,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.97 : 7,015.77 = 4,324.23 : x
  2. Step 2: Convert to fraction form
    4,667.97/7,015.77 = 4,324.23/x
  3. Step 3: Cross multiply
    4,667.97x = 7,015.77 × 4,324.23
  4. Step 4: Simplify right side
    4,667.97x = 30,337,803.11
  5. Step 5: Solve for x
    x = 30,337,803.11/4,667.97
  6. Step 6: Final answer
    x = 6,499.14

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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.