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Finding the Fourth Proportional to 4,706.13, 7,082.83 and 3,542.16

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Solution

The fourth proportional to 4,706.13, 7,082.83 and 3,542.16 is: 5,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.13 : 7,082.83 = 3,542.16 : x
  2. Step 2: Convert to fraction form
    4,706.13/7,082.83 = 3,542.16/x
  3. Step 3: Cross multiply
    4,706.13x = 7,082.83 × 3,542.16
  4. Step 4: Simplify right side
    4,706.13x = 25,088,517.11
  5. Step 5: Solve for x
    x = 25,088,517.11/4,706.13
  6. Step 6: Final answer
    x = 5,331.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.