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Finding the Fourth Proportional to 4,731.12, 7,082.08 and 3,084.12

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Solution

The fourth proportional to 4,731.12, 7,082.08 and 3,084.12 is: 4,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.12 : 7,082.08 = 3,084.12 : x
  2. Step 2: Convert to fraction form
    4,731.12/7,082.08 = 3,084.12/x
  3. Step 3: Cross multiply
    4,731.12x = 7,082.08 × 3,084.12
  4. Step 4: Simplify right side
    4,731.12x = 21,841,984.57
  5. Step 5: Solve for x
    x = 21,841,984.57/4,731.12
  6. Step 6: Final answer
    x = 4,616.66

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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.