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Finding the Fourth Proportional to 4,865.33, 6,715.16 and 3,165.96

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Solution

The fourth proportional to 4,865.33, 6,715.16 and 3,165.96 is: 4,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.33 : 6,715.16 = 3,165.96 : x
  2. Step 2: Convert to fraction form
    4,865.33/6,715.16 = 3,165.96/x
  3. Step 3: Cross multiply
    4,865.33x = 6,715.16 × 3,165.96
  4. Step 4: Simplify right side
    4,865.33x = 21,259,927.95
  5. Step 5: Solve for x
    x = 21,259,927.95/4,865.33
  6. Step 6: Final answer
    x = 4,369.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.